Question

HELP ASAP

A net of a rectangular prism is shown.


A net of a rectangular prism with dimensions 5 and three-fourths centimeters by 4 centimeters by 11 and three-fourths centimeters.


What is the surface area of the prism?


five hundred fifty and one-fourth cm2

four hundred twelve and three-fourths cm2

two hundred seventy-five and one-eighth cm2

one hundred thirty-seven and nine-sixteenths

Answer 1

(c) two hundred seventy-five and one-eighth cm² = 275 1/8 cm²

Explanation:

You want the surface area of the rectangular prism represented by the given net.

Missing dimensions

The first attachment shows the missing dimensions. The height of the vertical rectangle in the center of the net is a total of 2×(5 3/4 + 4) cm.

Area

The area is the sum of the areas of the rectangular faces of the prism. It is the sum of the individual rectangles shown in the net diagram.

This area can be computed nicely by adding the vertical dimensions and multiplying by the width of the central rectangle. Then, added to that, is the area of the two "wings" on either side of that central rectangle.

In each case, the area of a rectangle is the product of its length and width.

The second attachment shows the calculation of the total area of the figure.

The surface area of the prism is 275 1/8 square centimeters.