Question

Nancy placed a cube and a cuboid together. Calculate the volume of the solid formed.

• A. 31 cubic inches
• B. 32 cubic inches
• C. 33 cubic inches
• D. 34 cubic inches

Answer 1

The correct option is C 33 cubic inches

Volume of the solid = Volume of cuboid + Volume of cube

Given: Dimensions for cuboid
Length = 1 inch
Width = 2 inches
Height = 3 inches

Volume of cuboid:
= Length $\times$ Width $\times$ Height
= 1 $\times$ 2 $\times$ 3
= 6 cubic inches

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

For cube: length = width = height

Volume of cube (with length 3 inch)
= 3 $\times$ 3 $\times$ 3
= 27 cubic inches

Total volume = 6 + 27
= 33 cubic inches