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Morgan’s mother won a solid glass award at work with the dimensions below. A rectangular prism with length 18 centimeters, width 18 centimeters, and height 3 centimeters. A square pyramid with a base of 18 centimeters by 18 centimeters and height of 40 centimeters. The triangular sides have a base of 18 centimeters and height of 41 centimeters. If the award was wrapped in cellophane when it arrived, what is the minimum amount of cellophane that was used? 1,692 centimeters squared 2,016 centimeters squared 3,204 centimeters squared 5,292 centimeters squared

Answer :

MathPhys

Answer:

2016 cm²

Step-by-step explanation:

The surface area is the sum of the areas of the exposed faces.

There is a square face at the bottom, four rectangular faces on the sides, and four triangular faces on top.

A = (18)(18) + 4 (18)(3) + 4 (½ (18)(41))

A = 2016

The minimum amount of cellophane needed is 2016 cm².

Surface Area of a rectangular prism = 2016 centimeters squared.

What is the surface area of a rectangular prism?

The total surface area of a rectangular prism exists as the lateral surface area (LSA) totality and exists twice the base area of the rectangular prism.

Lateral surface area = P x h

Total Surface Area of rectangular prism = LSA + 2 (Base area)

= 2 (l + w) h + 2 (l x w)

= 2 lh + 2 wh + 2 lw  [Square units]

Rectangular prism with a length of 18 cm

Width of the rectangular prism = 18 cm

Height of the rectangular prism = 3 cm.

The surface area exists as the totality of the areas of the disclosed faces.

There exists a square face at the bottom, four rectangular faces on the sides, and four triangular faces on top.

Surface Area of a rectangular prism = 2 (lh +wh + lw ) Square units.

Area = (18)(18) + 4 (18)(3) + 4 (½ (18)(41))

Area = 2016 centimeters squared.

To learn more about the surface area of a rectangular prism

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