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Nesterboy [21]
3 years ago
4

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
Mathematics
2 answers:
BARSIC [14]3 years ago
7 0

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.

GalinKa [24]3 years ago
4 0

Answer:

the right answer is B

Step-by-step explanation:

2016

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\bf \textit{arc's length}\\\\ s=r\theta ~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad radians\\ \cline{1-1} \theta =\frac{3\pi }{2}\\ s=\frac{5\pi }{2} \end{cases}\implies \cfrac{5\pi }{2}=r\cdot \cfrac{3\pi }{2}

\bf \cfrac{~~\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{3~~\begin{matrix} \pi \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\cdot \cfrac{5~~\begin{matrix} \pi \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }{~~\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}=r\implies \cfrac{5}{3}=r

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