Round your answers to three significant digits. A piece of 17 in. $ ×$ 14 in. metal duct is a rectangular prism. If it is 5 ft long, what is the lateral surface area A? What is its volume V? A) A = 3,740 in. ², V = 14,600 in. ³ B) A = 3,720 in. ², V = 1,190 in. ³ C) A = 37,400 in. ², V = 14,300 in. ³ D) A = 3,720 in. ², V = 146,000 in. ³ E) A = 3,720 in. ², V = 14,300 in. ³

Question

Quizplus · Accepted Answer

To find the lateral surface area, we need to find the perimeter of the rectangular base and multiply it by the height of the rectangular prism. The perimeter is given by:

Perimeter = 2(17 in. + 14 in.) = 62 in.

So the lateral surface area is:

A = 62 in. × 5 ft × 12 in./ft = 3,720 in.

To find the volume, we simply multiply the length, width, and height of the rectangular prism. So the volume is:

V = 17 in. × 14 in. × 5 ft × 12 in./ft = 14,300 in.

Therefore, the best choice is E.

Round Your Answers to Three Significant Digits × ×× 14 In Metal Duct Is a Rectangular Prism

Round Your Answers to Three Significant Digits $×$ 14 In Metal Duct Is a Rectangular Prism