Free Printable Form 2 - 6.4. Volume of Three-Dimensional Shapes

1.

Calculate the volume of the object.

(a)

2.

Calculate the volume of the object.

(a)

3.

Below is a trapezoidal prism. The trapezium’s parallel sides have lengths 45 cm and 60 cm and its perpendicular height is 20 cm. The length of the prism is 80 cm. Work out the volume of the prism.

(a)

4.

Below is a triangle-based pyramid. The base of the pyramid has area $18\ cm^2$ and the height of the pyramid is $\left(x+5\right)\ cm^2$ . The volume of the pyramid is $54\ cm^3$ . Work out the value of x.

(a)

5.

The diagram shows the outline of a square based pyramid, ABCDE. The vertical height of the pyramid is 12 m and the base length, CD, is 5 m. Find the volume of the square based pyramid.

(a)

6.

Find the volume of the figure. Round to the nearest whole number.

a)

$317\ units^3$

b)

$635\ units^3$

c)

$1904\ units^3$

d)

$952\ units^3$

7.

Which cylinder will have a larger volume?

a)

Cylinder A

b)

Cylinder B

8.

Calculate the volume of the cylinder given.

(Use $\pi=\frac{22}{7}$ )

a)

$62.72\pi\ m^3$

b)

$313.6\pi\ m^3$

c)

$118.72\pi\ m^3$

d)

$178.18\pi\ m^3$

9.

The diagram shows a cone. Given that the diameter of circular base is 16 cm. Find the volume of the cone.

(Use $\pi=\frac{22}{7}$ )

a)

$628\frac{4}{7}\ cm^3$

b)

$885\frac{4}{7}\ cm^3$

c)

$1005\frac{5}{7}\ cm^3$

d)

$4022\frac{6}{7}\ cm^3$

10.

Find the volume of the sphere.

(Use $\pi=\frac{22}{7}$ )

a)

$22,176\ cm^3$

b)

$310,464\ cm^3$

c)

$7392\ cm^3$

d)

$38,808\ cm^3$

11.

What is the volume of both shapes?

a)

$150\ cm^3$

b)

$65\ cm^3$

c)

$300\ cm^3$

d)

$225\ cm^3$

12.

Find the volume of the composite solid.

(Use $\pi=3.142$ )

a)

$188.52\ m^3$

b)

$753.62\ m^3$

c)

$235.65\ m^3$

d)

$31.42\ m^3$

13.

Given that each cube with length 2 cm. Calculate the volume of the shape shows in the diagram.

a)

$210\ cm^3$

b)

$220\ cm^3$

c)

$230\ cm^3$

d)

$240\ cm^3$

14.

The diagram shows a solid which consists of a half-cylinder and a cuboid. Find the volume of the solid. State the answer correct to 2 decimal places.

(Use $\pi=3.142$ )

a)

$1336.14\ cm^3$

b)

$2672.72\ cm^3$

c)

$13,230.08\ cm^3$

d)

$14,566.14\ cm^3$

15.

Based on the diagram, given the diameter of the hemisphere is 6 cm. Calculate the volume, in $cm^3$ of the combined geometrical shapes given if the shaded cone is taken out.

(Use $\pi=\frac{22}{7}$ )

a)

$300\ cm^3$

b)

$303\ cm^3$

c)

$330\ cm^3$

d)

$313\ cm^3$

16.

The figure shown below is composed of a rectangular prism and two half cylinders. Which is closest to the volume of the figure?

a)

$1384\ cm^3$

b)

$706\ cm^3$

c)

$631\ cm^3$

d)

$882\ cm^3$

17.

Find the volume of the shaded region. Round your answer to one decimal place.

(Use $\pi=3.142$ )

(a)

18.

Find the volume of the shaded region. Round your answer to two decimal places.

(Use $\pi=3.142$ )

(a)

19.

Find the volume of the shaded region. Round your answer to two decimal places.

(Use $\pi=3.142$ )

(a)

20.

Find the volume of the shaded region

(a)

Form 2 - 6.4. Volume of Three-Dimensional Shapes

Total questions: 20

Worksheet time: 15mins

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