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Topical test Chapter 6: 3-D Geometrical Shapes

Total questions: 10

Worksheet time: 38mins

Name
Class
Date
1.

Name the three-dimensional shape for the following net.

a)

Prism

b)

Cylinder

c)

Sphere

d)

Cone

2.

Name the three-dimensional shape for the following net.

a)

Cone

b)

Cylinder

c)

Pyramid

d)

Prism

3.

Name the three dimensional shapes with the following properties.

• A flat circular base.

• A curved face which converges at a point known as the apex.

• One vertex and one circular edge.

a)

Pyramid

b)

Sphere

c)

Cylinder

d)

Cone

4.

Name the three dimensional shapes with the following properties.

• A curved face.

• No vertices and no edges.

a)

Cylinder

b)

Cone

c)

Sphere

d)

Hemisphere

5.

The diagram above shows a closed cylinder with base radius 7 cm and height 12 cm. Find the surface area of the cylinder.
 (π=227)\left(\pi=\frac{22}{7}\right)  

a)

836  cm2cm^2  

b)

863   cm2cm^2  

c)

683  cm2cm^2  

d)

688  cm2cm^2  

6.

The diagram above shows a prism with the cross section of a right-angled triangle. Find the surface area of the prism.

a)

776 cm2cm^2

b)

567 cm2cm^2

c)

756 cm2cm^2

d)

676 cm2cm^2

7.

The diagram above shows a prism with a right-angled triangle as the cross section. Given the surface area of the prism is 144 cm2, find the value of x.

a)

3

b)

5

c)

6

d)

4

8.

The diagram above shows a right pyramid with a rectangular base. The height of the pyramid is 9 cm. Find the volume of the pyramid.

a)

256 cm3cm^3

b)

252 cm3cm^3

c)

325 cm3cm^3

d)

366 cm3cm^3

9.

The diagram above shows a medicine capsule with a shape which is the combination of a cylinder and two hemispheres at two ends of the cylinder. Find the volume of the medicine capsule.  (π =3.142)\left(\pi\ =3.142\right)  

a)

352.45     mm3mm^3  

b)

543.35  mm3mm^3  

c)

452.45  mm3mm^3  

d)

462.25   mm3mm^3  

10.

The diagram above shows the net of a cone. Given the surface area of the cone is I6871 cm2, find the value of p. Hence, find the volume of the cone that will be formed.
 (π= 3.142)\left(\pi=\ 3.142\right)  

a)

p = 12,  567.25   cm3cm^3  

b)

p= 13,   686.85 cm3cm^3  

c)

p = 13,  573,45   cm3cm^3  

d)

p = 12,  467.55   cm3cm^3