Question

A toy box is in the shape of a triangular prism. Find the area of the gift paper needed to wrap the box.

• A. 80 sq in
• B. 260 sq in
• C. 320 sq in
• D. 100 sq in

Answer 1

The correct option is B 260 sq in

The given prism contains two triangular faces and 3 rectangular faces.


Area of triangular face = $\frac{1}{2}$$\times$ base $\times$ height

Base of the triangle = 5 in

Height of the triangle = 4 in

Area of the triangular face = $\frac{1}{2}$$\times$ 5 $\times$ 4

= 10 sq in



Area of rectangular face = length $\times$ width

Length of rectangular face = 16 in

Width of rectangular face = 5 in

Area of rectangular face = 16 $\times$5 = 80 sq in



Total surface area = 2(area of triangular face) + 3(area of rectangular face)

= 2(10) + 3(80) = 20 + 240 = 260 sq in

Hence, the area of gift paper needed = 260 sq in