Question

A hole of 2 m $\times$ 1 m $\times$ 2m is drilled inside an ice block of 3 m $\times$ 1 m $\times$ 4m to make an ice frame. Calculate the volume of the frame.

• A. 7 cubic meters
• B. 8 cubic meters
• C. 9 cubic meters
• D. 10 cubic meters

Answer 1

The correct option is B 8 cubic meters

The volume of the frame = Volume of the ice block - Volume of the drilled hole


Volume of cuboid
= Length $\times$ Width $\times$ Height

Dimensions of the block:
Length = 3m
Width = 1m
Height = 4m
Volume of the block = 3 $\times$ 1 $\times$ 4
= 12 cubic meters

Dimensions of the hole:
Length = 2m
Width = 1m
Height = 2m
Volume of the hole = 2 $\times$ 1 $\times$ 2
= 4 cubic meters

Volume of the frame = 12 - 4
= 8 cubic meters