Question

HELP NOW PLZ!!! IM IN A QUIZ!!! IM GIVING BRAINLIEST AND 15 POINTS!!!!

Vikram is studying the square pyramid below. A square pyramid. The square base has side lengths of 34.2 inches. The triangular sides have a height of 28.4 inches and length of 33.2 inches. To find the surface area of the pyramid, in square inches, Vikram wrote (33.2) (34.2) + 4 (one-half (34.2) (28.4)). What error did Vikram make?
A) He used the same expression for the area of all four lateral faces.
B) He used the wrong expression to represent the area of the base of the pyramid.
C) He used the wrong value as the height when he found the area of the lateral faces.
D) He used an expression for surface area that only finds the total area of three faces.

Answer 1

Answer:

He used the wrong expression to represent the area of the base of the pyramid.

Step-by-step explanation:

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Answer 2

Vikram made an error in the expression to represent the area of the base of the pyramid. So, Option B is correct.

What is the surface area of a square pyramid?

The surface area of a square pyramid is given by the formula,

$SA=s^2+4(\frac{1}{2}bh)$

Where, s-length of the side of the square, b- length of the base,

and h- the height of the pyramid.

Given data:

The square base had a side of length s=34.2 inches

The height h=28.4 inches

Calculating the surface area:

The surface area is given by the expression:

$SA=s^2+4(\frac{1}{2}bh)$

On substituting the values

$SA=(34.2)^2+4(\frac{1}{2}(34.2)(28.4))$

But Vikram wrote,

$SA=(33.2)(34.2)+4(\frac{1}{2}(34.2)(28.4))$

So, he used the wrong expression for the area of the base of the pyramid.

Therefore, option B is correct.

Learn more about the surface area of the pyramid here:

https://brainly.com/question/15928093

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