117k views
3 votes
Select the correct answer.Christi is using a display box shaped like a regular pentagonal prism as a gift box. About how much gift wrap does she need to completely coverthe box?A 800 cm²B. 480 cm2C. 1,020 cm²D. 1,600 cm²

Select the correct answer.Christi is using a display box shaped like a regular pentagonal-example-1
User Seanb
by
7.8k points

2 Answers

4 votes

Answer:

C. 1,020
cm^(2)

Hope this helps!

Explanation:

Select the correct answer.Christi is using a display box shaped like a regular pentagonal-example-1
User Hese
by
8.1k points
3 votes

Given: A regular pentagonal prism with base edge 8cm and height 20 cm .

Find: wrap need to cover the box.

Explanation: for to find the length of wrap we need to find the area of regular pentagonal prism .


A=5ah+(1)/(2)\sqrt{5(5+2√(5))}a^2

where a=base edge=8cm and h =height=20 cm


\begin{gathered} A=5*8*20+(1)/(2)\sqrt{5(5+2√(5))}*8^2 \\ =1020.2211\text{ cm}^2 \end{gathered}

Final answer: the required answer is 1020 square centimeter.

User JEL
by
8.3k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories