Maths-
General
Easy
Question
An orange crate is in the shape of a rectangular prism . It has a volume of
cubic units and has a base area of
square units. Find the height of the orange crate ?.
Hint:
The Volume of a rectangular prism is:
, where w, h & l are width , height and length respectively.
The base area of a rectangular prism is:
.
We are asked to find the height of the rectangular prism.
The correct answer is: Hence, the height of the prism is: 3x + 1.
Step 1 of 2:
The volume of a rectangular prism is:![3 straight x cubed plus 7 straight x squared plus 2 straight x](data:image/png;base64,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)
The general formula is:
![table attributes columnalign right columnspacing 0em end attributes row cell straight V equals wlh space space space space space space space space space space space space space space space space end cell row cell equals 3 straight x squared plus 7 straight x squared plus 2 straight x end cell end table](data:image/png;base64,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)
The base of the prism is:
.
The general formula is,
![table attributes columnalign right columnspacing 0em end attributes row cell straight A equals straight w space space space space space end cell row cell equals straight x squared plus 2 straight x end cell end table](data:image/png;base64,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)
Step 2 of 2:
Dividing the volume by the base area, we have the height. That is;
![table attributes columnalign right columnspacing 0em end attributes row cell straight V over straight A equals fraction numerator straight w divided by straight h over denominator Ih end fraction end cell row cell equals straight h space space space space space space space space end cell end table](data:image/png;base64,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)
Substituting the values in the equation, we have:
![table attributes columnalign right columnspacing 0em end attributes row cell straight V over straight A equals fraction numerator 3 straight x cubed plus 7 straight x squared plus 2 straight x over denominator straight x squared plus 2 straight x end fraction end cell row cell equals fraction numerator straight x open parentheses 3 straight x squared plus 7 straight x plus 2 close parentheses over denominator straight x left parenthesis straight x plus 2 right parenthesis end fraction space space space end cell end table](data:image/png;base64,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)
![table attributes columnalign right columnspacing 0em end attributes row cell equals fraction numerator 3 straight x squared plus 6 straight x plus straight x plus 2 over denominator left parenthesis straight x plus 2 right parenthesis end fraction space space space space end cell row cell equals fraction numerator 3 straight x left parenthesis straight x plus 2 right parenthesis plus 1 left parenthesis straight x plus 2 right parenthesis over denominator straight x plus 2 end fraction end cell row cell space space space end cell end table](data:image/png;base64,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)
![table attributes columnalign right columnspacing 0em end attributes row cell equals fraction numerator left parenthesis 3 straight x plus 1 right parenthesis left parenthesis straight x plus 2 right parenthesis over denominator straight x plus 2 end fraction end cell row cell equals 3 straight x plus 1 space space space space space space space space space space space space end cell end table](data:image/png;base64,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)
Hence, the height of the prism is: 3x + 1.
Dividing two expressions and multiplying it with reciprocal of the second expression has the same effect.
Related Questions to study
Maths-
Arrange the following rational numbers in descending order: ![fraction numerator negative 4 over denominator 9 end fraction comma fraction numerator negative 5 over denominator 12 end fraction comma fraction numerator negative 7 over denominator 18 end fraction comma fraction numerator negative 2 over denominator 3 end fraction](data:image/png;base64,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)
Arrange the following rational numbers in descending order: ![fraction numerator negative 4 over denominator 9 end fraction comma fraction numerator negative 5 over denominator 12 end fraction comma fraction numerator negative 7 over denominator 18 end fraction comma fraction numerator negative 2 over denominator 3 end fraction](data:image/png;base64,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)
Maths-General
Maths-
Arrange from least to greatest : ![fraction numerator negative 3 over denominator 5 end fraction comma space fraction numerator negative 7 over denominator 10 end fraction comma space fraction numerator negative 5 over denominator 8 end fraction](data:image/png;base64,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)
Arrange from least to greatest : ![fraction numerator negative 3 over denominator 5 end fraction comma space fraction numerator negative 7 over denominator 10 end fraction comma space fraction numerator negative 5 over denominator 8 end fraction](data:image/png;base64,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)
Maths-General
Maths-
The product of two rational numbers is
. If one of the number is
, find the other rational number ?
The product of two rational numbers is
. If one of the number is
, find the other rational number ?
Maths-General
Maths-
Find the Quotient and the domain .
![fraction numerator straight x to the power of 4 plus straight x cubed minus 30 straight x squared over denominator straight x squared minus 3 straight x minus 18 end fraction divided by fraction numerator straight x cubed plus straight x squared minus 30 straight x over denominator straight x squared minus 36 end fraction](data:image/png;base64,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)
Find the Quotient and the domain .
![fraction numerator straight x to the power of 4 plus straight x cubed minus 30 straight x squared over denominator straight x squared minus 3 straight x minus 18 end fraction divided by fraction numerator straight x cubed plus straight x squared minus 30 straight x over denominator straight x squared minus 36 end fraction](data:image/png;base64,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)
Maths-General
Maths-
What is the Quotient of
.
What is the Quotient of
.
Maths-General
Maths-
The cost of 4.25 m of cloth is 38.25. Find the cost of cloth per meter ?
The cost of 4.25 m of cloth is 38.25. Find the cost of cloth per meter ?
Maths-General
Maths-
If
of a number exceeds its
by 8 , find the number ?
If
of a number exceeds its
by 8 , find the number ?
Maths-General
Maths-
Taylor uses tape to mark a square play area in the basement for her daughter. The area measures 28 sq.ft . Is the side length of the square rational or irrational ? Explain.
Taylor uses tape to mark a square play area in the basement for her daughter. The area measures 28 sq.ft . Is the side length of the square rational or irrational ? Explain.
Maths-General
Maths-
The Approximate annual interest rate r of a monthly installment loan is given by the formula:
![r equals fraction numerator fraction numerator 24 left parenthesis n m minus p right parenthesis over denominator n end fraction over denominator open parentheses p plus fraction numerator n m over denominator 12 end fraction close parentheses end fraction](data:image/png;base64,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)
Where n is the total number of payments , m is the monthly payment and p is the amount financed.
Find the approximate annual interest rate for a five year auto loan of $40,000 that has monthly payments of $750.
The Approximate annual interest rate r of a monthly installment loan is given by the formula:
![r equals fraction numerator fraction numerator 24 left parenthesis n m minus p right parenthesis over denominator n end fraction over denominator open parentheses p plus fraction numerator n m over denominator 12 end fraction close parentheses end fraction](data:image/png;base64,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)
Where n is the total number of payments , m is the monthly payment and p is the amount financed.
Find the approximate annual interest rate for a five year auto loan of $40,000 that has monthly payments of $750.
Maths-General
Maths-
Order from least to greatest ![29 over 12 comma 2.4444 horizontal ellipsis comma square root of 5.65](data:image/png;base64,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)
Order from least to greatest ![29 over 12 comma 2.4444 horizontal ellipsis comma square root of 5.65](data:image/png;base64,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)
Maths-General
Maths-
Find the Quotient and the domain .
![fraction numerator 25 straight x squared minus 4 over denominator straight x squared minus 9 end fraction divided by fraction numerator 5 straight x minus 2 over denominator straight x plus 3 end fraction](data:image/png;base64,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)
Find the Quotient and the domain .
![fraction numerator 25 straight x squared minus 4 over denominator straight x squared minus 9 end fraction divided by fraction numerator 5 straight x minus 2 over denominator straight x plus 3 end fraction](data:image/png;base64,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)
Maths-General
Maths-
Order from least to greatest
0.363636..... , √15 , ![square root of 17 over 3 end root](data:image/png;base64,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)
Order from least to greatest
0.363636..... , √15 , ![square root of 17 over 3 end root](data:image/png;base64,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)
Maths-General
Maths-
Becky is competing in an 8-mi road race. She runs at a constant speed of 6 mi/h. Write an in slope-intercept form to represent the distance Becky has left to run.
Becky is competing in an 8-mi road race. She runs at a constant speed of 6 mi/h. Write an in slope-intercept form to represent the distance Becky has left to run.
Maths-General
Maths-
Recognize the following numbers as real numbers , rational numbers , irrational numbers , integers ,whole numbers :
![13.9 comma space square root of 49 comma space minus 48](data:image/png;base64,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)
Recognize the following numbers as real numbers , rational numbers , irrational numbers , integers ,whole numbers :
![13.9 comma space square root of 49 comma space minus 48](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHwAAAATCAYAAABSvGkxAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAvpJREFUeNrtmU+EVVEcx68x8uQtSpFMlJEkeWIaSmVckmTkGRPtkpKRpGWLIjIaiVKrVFqkHunPJtUmzxjJJJWMJyUtWrRoEUk9Y2r6/vgOx/XOn3vumTtvmvvlY97ce8+d7/n93jnnd85E0f+nMpjOgUJtov2gXoRh4egJOFyEYWFoOfjOn4UctA6cBm8192PwGPwCTfABXALLLO/tA2NsI23vge5Z8D8EHjo8129Yh/PymkUm/4vBZfCTfXgKunQvugWOGF4ma+MAWKRc28SX6rQLTIBe0AE6wSHwHqwIHAjxN+hQ1DU0fczTa5aitGHI0Q0wTO+SpxEwbntp2ir0h+HeK80I2QfOBwzEGvANlCzPXWUSp+fQaxaZ/Ecc1arkizsZMuHdHAE6TWmui5HXAQNxElyzPLMNPDP0MS+vvrL5jziVlxPev4RIuExxB7mO7zE89wn0tLi+mmtkKL0Buw33ZXp7x7+r62NeXn3k4j/i+n1c+X0ruJAl4ckDiBOWd8l0+JnFUAfp54iZ9Oh4ucW1jeAr1y2dZC07ZuljaK8h5eJfVKFXYZRx2RFihC8FVRYEfQ5Vep3ri3AXrE05auT5m/S2PXHvHLhoaCtBeO7YxxBeXQeL6wmeq38Z/bfBSqWw7uHMVQm1hpddqsAWKqVsd4oJl332y8Q9GZWbDW3HmTTfPpY8+xhKrv4faBIbR5bTx7RVetOjE2LirEe7o+Cvsk3aAj5apvOs5+K+XkPJ1X/TN0dpEl5h4ZZWw6YDAYtker3Dz1fAGc8g5uF1Nr8ESTVazASiDVzLUwdjlIVNJwuamNPpAc03MuI2Qj2skcDJad7eRJsa21QdOnsd/KYP2XuvDxQwV68+nvNI+ACTHitFZ8w1fMh16lAl1d4jpaCps4qNDAnfyeemeEBT06wzaYK3BPwB98GLgAFz9dquCZ/ZaczsKpocpNWoTVWz7OlVjTluC9vJcyFFciY/YSm+VPUy4avmkedCirqi9P+gGJyHnudU/wD0AQatgrRDBwAAALR0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bW4+MTMuOTwvbW4+PG1vPiw8L21vPjxtbz4mI3hBMDs8L21vPjxtc3FydD48bW4+NDk8L21uPjwvbXNxcnQ+PG1vPiw8L21vPjxtbz4mI3hBMDs8L21vPjxtbz4mI3gyMjEyOzwvbW8+PG1uPjQ4PC9tbj48L21hdGg+VJ5ZAAAAAABJRU5ErkJggg==)
Maths-General
Maths-
The Approximate annual interest rate r of a monthly installment loan is given by the formula:
![r equals fraction numerator fraction numerator 24 left parenthesis n m minus p right parenthesis over denominator n end fraction over denominator open parentheses p plus fraction numerator n m over denominator 12 end fraction close parentheses end fraction](data:image/png;base64,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)
Where n is the total number of payments , m is the monthly payment and p is the amount financed.
a. Find the approximate annual interest rate for a four year signature loan $20,000 that has monthly payments of $500.
The Approximate annual interest rate r of a monthly installment loan is given by the formula:
![r equals fraction numerator fraction numerator 24 left parenthesis n m minus p right parenthesis over denominator n end fraction over denominator open parentheses p plus fraction numerator n m over denominator 12 end fraction close parentheses end fraction](data:image/png;base64,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)
Where n is the total number of payments , m is the monthly payment and p is the amount financed.
a. Find the approximate annual interest rate for a four year signature loan $20,000 that has monthly payments of $500.
Maths-General