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

Question

2 months ago

10

ing the bottom.
A. 61.5 square feet

B. 61.75 square feet

C. 65.25 square feet

D. 69 square feet

1 answer:

lawyer [12.5K] · Answer 1 · 2026-03-19T12:21:57+03:00

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.