Amadou built a toy box in the shape of a rectangular prism with an open top. The diagram below shows the toy box and a net of the toy box. On the tactile printout of the following graphs, a is 66 centimeters, b is 1515 centimeters, and c is 55 centimeters.

Question

TOY BOX
TOY BOX
An image is shown. To download tactile, press SHIFT-CONTROL-U for UEB or SHIFT-CONTROL-N for Nemeth.
NET OF TOY BOX
NET OF TOY BOX
15 cm6 cm5 cmAn image is shown. To download tactile, press SHIFT-CONTROL-U for UEB or SHIFT-CONTROL-N for Nemeth.
What is the surface area, in square centimeters, of the toy box?

Answer 1

To find the surface area of the toy box, we need to calculate the area of each of the six faces and then sum them up.

The formula for the surface area of a rectangular prism is:
Surface Area = 2(ab + bc + ac)

Given that:
a = 66 cm
b = 15 cm
c = 55 cm

Plugging in the values:
Surface Area = 2(66*15 + 15*55 + 66*55)
Surface Area = 2(990 + 825 + 3630)
Surface Area = 2(5445)
Surface Area = 10890 square centimeters

Therefore, the surface area of the toy box is 10890 square centimeters.