Question

Match the following rectangular prisms with their base areas.

• A. 25 sq cm
• B. 225 sq cm
• C. 100 sq cm

Answer 1

The first rectangular prism is

Height = 20 cm

Volume = 2000 cu cm.

Hence, base area = $\frac{volume}{height}$ = $\frac{2000}{20}$

= 100 sq cm

Hence, the base area = 100 sq cm.



The next rectangular prism is

Volume of cuboid = base area $\times$ height

Height = 10 cm

Volume = 250 cu cm.

Hence, base area = $\frac{volume}{height}$ = $\frac{250}{10}$

= 25 sq cm

Hence, the base area = 25 sq cm.



The next rectangular prism is

Volume of rectangular prism = base area $\times$ height

Height = 20 cm

Volume = 4500 cu cm.

Hence, base area = $\frac{volume}{height}$ = $\frac{4500}{20}$

= 225 sq cm

Hence, the base area = 225 sq cm.