Question
Find the volume.
- 80 cubic cm
- 108 cubic cm
- 28 cubic cm
- 145 cubic cm
Hint:
We are given an irregular solid shape. We have to find the volume of the shape. We will breakdown the shape into regular shapes. We will find the volume and add the volumes to get total volume.
The correct answer is: 108 cubic cm
The given irregular shape is made up of two cuboids.
From the figure we can make following observations.
The height of the front cuboid will be
Height = 2 cm
The width of the front cuboid is
Width = 2 cm
The length of the front cuboid is
Length = 7 cm
The formula of volume of cuboid is
Volume = length × width × height
Volume of upper cuboid = length × width × height
= 7 × 2 × 2
= 28 cubic cm
In the same way, we will find the dimensions of the back cuboid.
Height = 5 cm
Width = 2 cm
Length = 8 cm
Volume of lower cuboid = length × width × height
= 8 × 2 × 5
= 80 cubic cm
Total volume will be sum of the above volumes.
Total volume = Volume of back cuboid + Volume of front cuboid
= 80 + 28
= 108 cubic cm
The volume of the given shape is 108 cubic cm.
For such questions, we should know the formula of volumes of different shapes.
Related Questions to study
You have a globe that has a radius of 5.6 inches. Find the volume of your globe.
Globe is similar to the sphere.
You have a globe that has a radius of 5.6 inches. Find the volume of your globe.
Globe is similar to the sphere.
Find the volume of a cylinder with a radius of 1 feet and a height of 2 feet.
Find the volume of a cylinder with a radius of 1 feet and a height of 2 feet.
Find the volume.
For such questions, we should know the formula of volumes of different shapes.
Find the volume.
For such questions, we should know the formula of volumes of different shapes.
Are the two figures similar? (If yes, find the similarity ratio)
Here, the ratio of the sides are not equal.
Are the two figures similar? (If yes, find the similarity ratio)
Here, the ratio of the sides are not equal.
________________ transformation does not create congruent figures.
Enlargement creates similar figures.
________________ transformation does not create congruent figures.
Enlargement creates similar figures.
Are the two figures similar? (If yes, find the similarity ratio)
In geometry, a cuboid is a hexahedron, a six-faced solid. Its faces are quadrilaterals. Cuboid means "like a cube", in the sense that by adjusting the length of the edges or the angles between edges and faces a cuboid can be transformed into a cube.
Are the two figures similar? (If yes, find the similarity ratio)
In geometry, a cuboid is a hexahedron, a six-faced solid. Its faces are quadrilaterals. Cuboid means "like a cube", in the sense that by adjusting the length of the edges or the angles between edges and faces a cuboid can be transformed into a cube.
Two spheres have a scale factor ratio of 1 : 3. The smaller sphere has a surface area of 16 ft2 Find the surface area of the larger sphere.
A sphere is a geometrical object that is a three-dimensional analogue to a two-dimensional circle. A sphere is the set of points that are all at the same distance r from a given point in three-dimensional space. That given point is the centre of the sphere, and r is the sphere's radius.
Two spheres have a scale factor ratio of 1 : 3. The smaller sphere has a surface area of 16 ft2 Find the surface area of the larger sphere.
A sphere is a geometrical object that is a three-dimensional analogue to a two-dimensional circle. A sphere is the set of points that are all at the same distance r from a given point in three-dimensional space. That given point is the centre of the sphere, and r is the sphere's radius.
Two similar cones have a scale factor of 
Find is the ratio of their volumes.
Two figures are said to be similar if they are the same shape.
Two similar cones have a scale factor of Find is the ratio of their volumes.
Two figures are said to be similar if they are the same shape.
Two objects that are the same shape but not the same size are _______.
If the similar figures are of same size, then they are congruent.
Two objects that are the same shape but not the same size are _______.
If the similar figures are of same size, then they are congruent.
