Nikita's Work

Area of Base = B = 3 bn = (718) = 28 cm?

Volume=Bh = (28) (13) = 364 cm

Where, if any, did Nikita first make a mistake in her work?

Nikita used the wrong formula for the area of the base.

Nikita used the wrong measurements when finding the area of the base.

Nikita used the wrong formula for the volume of the prism.

Nikita did not make a mistake.

Complete question:

Nikita calculated the volume of the right triangular prism. Her work is shown below.

Where, if any, did Nikita first make a mistake in her work?

Nikita used the wrong formula for the area of the base.

Nikita used the wrong measurements when finding the area of the base.

Nikita used the wrong formula for the volume of the prism.

Nikita did not make a mistake

Note the shape is a right triangular prism with base sides of 8 cm and height of 13 cm. The height of the prism is 7 cm.

Answer:

Nikita used the wrong measurements when finding the area of the base.

Step-by-step explanation:

The formula for the base area of the triangular prism should be the area of a triangle.

Area of a triangle = 1/2 bh

where

b = base

h = height of triangle

According to her expression she uses the wrong measurement when finding the area of the base.

She did = 1/2 * b * h = 1/2 * 7 * 8 = 56/2 = 28 cm²

But the height of the triangle is suppose to be 13 cm not 7 cm she used

The volume of the prism = Bh

where

B = base area

H = height of the prism

The volume should be

Volume = 13 * 8 * 7 = 728 cm³