Question

Find the possible dimensions of the base of the rectangular prism having volume 24 cu cm and height 2 cm.

• A. 4 cm $\times$ 4 cm
• B. 4 cm $\times$ 3 cm
• C. 3 cm $\times$ 3 cm
• D. 6 cm $\times$ 3 cm

Answer 1

The correct option is B 4 cm $\times$ 3 cm

Volume of the rectangular prism = 24 cu cm

Height = 2 cm

As volume of the rectangular prism = Length $\times$ Width $\times$ Height

24 = Length $\times$Width $\times$ 2

Length × Width = 24 $÷$2 = 12 sq cm

Option A:

Length = 4 cm

Width = 3 cm

Length $\times$Width = 4 $\times$3

= 12 sq cm

Option A can be the possible dimensions.

Option B: length = 6 cm width = 3 cm
​​​​​​length$\times$ width = 6 $\times$3

= 18 sq cm

Option B cannot be the possible dimensions.

Option C: Length = 4 cm

Width = 4 cm

Length $\times$ Width = 4 $\times$ 4

= 16 sq cm

Option C cannot be the possible dimensions.

Option D: Length = 3 cm

Width = 3 cm

Length $\times$ Width = 3 $\times$ 3

= 9 sq cm

Option D cannot be the possible dimensions.

Thus option A is the correct answer.