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IRINA_888
8 days ago
10

Select the correct answer. What is the surface area of the victory podium shown here? Include all surfaces of the podium, includ

ing the bottom.
A. 61.5 square feet

B. 61.75 square feet

C. 65.25 square feet

D. 69 square feet

Mathematics
1 answer:
lawyer [9.2K]8 days ago
4 0

Answer:

The correct answer is Option C.

Step-by-step explanation:

We are provided with the dimensions of the podium, including its length, width, and height, and need to determine its surface area.

To find the surface area of a cuboid, the formula used is 2(LW + WH + HL)

Referring to the provided figure, the dimensions of the upper cuboid are

L=2.5 ft., W=1.5 ft, H=1.5 ft

\text{Surface area=}2(2.5(1.5)+1.5(1.5)+1.5(2.5))=19.5ft^2

\text{Area of bottom face of upper cuboid=}L\timesW=2.5\times1.5=3.75ft^2

Since the upper face appears twice, it must be deducted to accurately calculate the area

The dimensions for the lower podium are

L=7.5 ft., W=1.5 ft, H=1.5 ft

\text{Surface area=}2(7.5(1.5)+1.5(1.5)+1.5(7.5))=49.5ft^2

Therefore, the overall surface area of the podium, including the bottom, is

19.5 + 49.5 - 3.75 = 65.25 square feet.

Thus, option C is indeed correct.

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3 0
1 month ago
Read 2 more answers
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