Question

The net of a rectangular prism and its dimensions are shown in the diagram.

Answer 1

Answer:

D.

Step-by-step explanation:

Given: Dimensions of a rectangular prism are $7.5\,\,inches,3\,\,inches\,,\,11.5\,\,inches$

To find: total surface area of the rectangular prism in square inches

Solution:

Length of the rectangular prism (l) = 7.5 inches

Breadth of the rectangular prism (b) = 3 inches

Height of the rectangular prism (h) = 11.5 inches

Total surface area of the rectangular prism = 2(lb+bh+hl)

= $2(7.5\times3+3\times11.5+11.5\times7.5 )$

$2(7.5\times3+3\times11.5+11.5\times7.5 )=2(22.5+34.5+86.25)\\=2(143.25)\\=286.5\,\,square \,\,inches$

So, option D is correct