Mathematics

Grade10

Easy

Question

A square prism has square sides with area $straight x squared plus 8 straight x plus 16$ and rectangular sides with area $2 straight x squared plus 15 straight x plus 28$ . What expression represents the surface area of the square prism?

$10 x^{2} + 76 x + 144$
$8 x^{2} + 56 x + 124$
$12 x^{2} + 64 x + 160$
$6 x^{2} + 70 x + 156$

hint Hint:

A square prism is a three-dimensional shape cuboid figure whose bases are squares and the other four faces are rectangle in shape.

The correct answer is: $10 straight x squared plus 76 straight x plus 144$

Step 1 of 1:
We have given a square prism with square side area $x squared plus 8 x plus 16$ and rectangular side area $2 x squared plus 15 x plus 28$ .
A square prism has 2 square sides and 4 rectangular sides.
Surface area of prism = 2 * Area of one square side + 4 * Area of one rectangular side
$equals 2 asterisk times left parenthesis straight x squared plus 8 straight x plus 16 right parenthesis plus 4 asterisk times left parenthesis 2 straight x squared plus 15 straight x plus 28 right parenthesis equals 10 straight x squared plus 76 straight x plus 144$

Are of square = $left parenthesis s i d e right parenthesis squared$
Area of rectangle = $l e n g t h cross times b r e a d t h$

A rectangle has a length of 5x + 2 in. and a width of 4x + 6 in. What is the perimeter of the rectangle?

MathematicsGrade10

Grade10

Mathematics

Simplify the expression.
$left parenthesis 4 straight n to the power of 4 minus 8 straight n plus 4 right parenthesis minus left parenthesis 8 straight n squared plus 4 straight n to the power of 4 plus 1 right parenthesis$

MathematicsGrade10

Grade10

Mathematics

Find the difference.
$left parenthesis 3 minus 2 straight x plus 2 straight x squared right parenthesis minus left parenthesis 4 straight x minus 5 plus 3 straight x squared right parenthesis$

MathematicsGrade10

Grade10

Mathematics

Find the sum.
$left parenthesis 2 straight x squared plus 5 straight x minus 7 right parenthesis plus left parenthesis 3 minus 4 straight x squared plus 6 straight x right parenthesis$

MathematicsGrade10

Grade10

Mathematics

Simplify the expression.
6m + 3z + 4m + 2w - 5z

MathematicsGrade10

Grade10

Mathematics

What is the constant in the polynomial?
$negative 2 xyz plus 3 straight x squared minus 2 straight y squared minus 6 straight z squared plus 32$

MathematicsGrade10

Grade10

Mathematics

What is the standard form of the polynomial?
$9 straight x squared plus 5 straight x plus 27 plus 2 straight x cubed$

MathematicsGrade10

Grade10

Mathematics

What is the degree of this polynomial?
$52 left parenthesis straight a squared right parenthesis bc – 2 left parenthesis straight a cubed right parenthesis left parenthesis straight b squared right parenthesis plus 4$

MathematicsGrade10

Polynomials-and-Factoring

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Factor the binomial 3x² - 48

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The factored form of $4 x cubed minus 24 x squared minus 28 x space$ is

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Polynomials-and-Factoring

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The area of rectangle is 12x³ - 18x² + 6x. The width is equal to the G.C.F. The dimensions of rectangle that could be is

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Polynomials-and-Factoring

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Write the difference in the factored form of (24x⁴-15x²+6x) and (10x⁴+5x²-4x)

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Factorize x² - 30x + 125

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The G.C.F of $14 x to the power of 10 y to the power of 8 & 15 x to the power of 6 y to the power of 9$ is

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The square of the binomial $open parentheses x plus 1 third close parentheses$ is

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A square prism has square sides with area and rectangular sides with area . What expression represents the surface area of the square prism?

A square prism is a three-dimensional shape cuboid figure whose bases are squares and the other four faces are rectangle in shape.

The correct answer is:

Step 1 of 1:We have given a square prism with square side area and rectangular side area .A square prism has 2 square sides and 4 rectangular sides.Surface area of prism = 2 * Area of one square side + 4 * Area of one rectangular side

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A rectangle has a length of 5x + 2 in. and a width of 4x + 6 in. What is the perimeter of the rectangle?

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A square prism has square sides with area $straight x squared plus 8 straight x plus 16$ and rectangular sides with area $2 straight x squared plus 15 straight x plus 28$ . What expression represents the surface area of the square prism?

The correct answer is: $10 straight x squared plus 76 straight x plus 144$

Simplify the expression.
$left parenthesis 4 straight n to the power of 4 minus 8 straight n plus 4 right parenthesis minus left parenthesis 8 straight n squared plus 4 straight n to the power of 4 plus 1 right parenthesis$

Simplify the expression.
$left parenthesis 4 straight n to the power of 4 minus 8 straight n plus 4 right parenthesis minus left parenthesis 8 straight n squared plus 4 straight n to the power of 4 plus 1 right parenthesis$

Find the difference.
$left parenthesis 3 minus 2 straight x plus 2 straight x squared right parenthesis minus left parenthesis 4 straight x minus 5 plus 3 straight x squared right parenthesis$

Find the difference.
$left parenthesis 3 minus 2 straight x plus 2 straight x squared right parenthesis minus left parenthesis 4 straight x minus 5 plus 3 straight x squared right parenthesis$

Find the sum.
$left parenthesis 2 straight x squared plus 5 straight x minus 7 right parenthesis plus left parenthesis 3 minus 4 straight x squared plus 6 straight x right parenthesis$

Find the sum.
$left parenthesis 2 straight x squared plus 5 straight x minus 7 right parenthesis plus left parenthesis 3 minus 4 straight x squared plus 6 straight x right parenthesis$

Simplify the expression.
6m + 3z + 4m + 2w - 5z

Simplify the expression.
6m + 3z + 4m + 2w - 5z

What is the constant in the polynomial?
$negative 2 xyz plus 3 straight x squared minus 2 straight y squared minus 6 straight z squared plus 32$

What is the constant in the polynomial?
$negative 2 xyz plus 3 straight x squared minus 2 straight y squared minus 6 straight z squared plus 32$

What is the standard form of the polynomial?
$9 straight x squared plus 5 straight x plus 27 plus 2 straight x cubed$

What is the standard form of the polynomial?
$9 straight x squared plus 5 straight x plus 27 plus 2 straight x cubed$

What is the degree of this polynomial?
$52 left parenthesis straight a squared right parenthesis bc – 2 left parenthesis straight a cubed right parenthesis left parenthesis straight b squared right parenthesis plus 4$

What is the degree of this polynomial?
$52 left parenthesis straight a squared right parenthesis bc – 2 left parenthesis straight a cubed right parenthesis left parenthesis straight b squared right parenthesis plus 4$

Factor the binomial 3x² - 48

Factor the binomial 3x² - 48

The factored form of $4 x cubed minus 24 x squared minus 28 x space$ is

The factored form of $4 x cubed minus 24 x squared minus 28 x space$ is

The area of rectangle is 12x³ - 18x² + 6x. The width is equal to the G.C.F. The dimensions of rectangle that could be is

The area of rectangle is 12x³ - 18x² + 6x. The width is equal to the G.C.F. The dimensions of rectangle that could be is

Write the difference in the factored form of (24x⁴-15x²+6x) and (10x⁴+5x²-4x)

Write the difference in the factored form of (24x⁴-15x²+6x) and (10x⁴+5x²-4x)

Factorize x² - 30x + 125

Factorize x² - 30x + 125

The G.C.F of $14 x to the power of 10 y to the power of 8 & 15 x to the power of 6 y to the power of 9$ is

The G.C.F of $14 x to the power of 10 y to the power of 8 & 15 x to the power of 6 y to the power of 9$ is

The square of the binomial $open parentheses x plus 1 third close parentheses$ is

The square of the binomial $open parentheses x plus 1 third close parentheses$ is