Mensuration (3D Solids)

The length of the edge of a cube is 60 cm. Find the volume of the cube.

• $180\ cm^3$

• $21600\ cm^2$

• $216000\ cm^3$

• $720\ cm^3$

Convert 216000 $cm^3$  into  $m^3$  .

(a)  

Calculate the volume of the cuboid.

(a)  

Calculate the total surface area of the cuboid.

(a)  

A toy is formed by joining a solid cone (base radius 6 cm, height 5 cm) to a hemisphere (radius 6 cm).

Calculate the volume of the toy. Give your answer to 3 sig. fig.

(a)  

A bowl is in the form of a hemisphere of radius 10 cm.

Calculate the volume of the bowl. Give your answer correct to 3 sig. fig.

(a)  

The outside of the bowl is to be painted. If it costs $0.30 to paint 1 cm², how much does it cost to paint the bowl?

• $377

• $188

• $283

• $388

The solid is made up of square base pyramid.

Calculate the volume of the pyramid with a height of 16 cm.

(a)  

The pyramid is made up of a square base of side 20 cm and height 28 cm. A smaller pyramid is cut from the top.

Calculate the volume of the remaining solid. Give your answer to 3 sig. fig.

(a)