Question

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Ryder found the volume of the figure below by using the steps shown.
A rectangular prism with a length of 40 millimeters, width of 30 millimeters, and height of 5 millimeters. A rectangular pyramid with a base of 30 millimeters by 40 millimeters and a height of 95 millimeters.

Total Volume = B h + one-half B h
Equals 5 (40) (3) + one-half (40) (30) (95)
Equals 6,000 + 57,000
Equals 63,000 cubic millimeters

What mistake, if any, did Ryder make?
Ryder determined the volume correctly.
Ryder used the wrong formula for the total volume.
Ryder used the wrong height for the pyramid.
Ryder did not apply the order of operations correctly.

Answer 1

Answer: It’s B

Because I took the quiz and got it right

Answer 2

The total volume of the figure is 44000 mm³. Ryder used the wrong formula for the total volume.

The composite figure is formed by combinning pyramid and a rectangular prism.

Volume of a rectangular prism

volume of rectangular prism = Bh

where

• B = base area
• h = height of the rectangular prism

Volume of a rectangular pyramid

volume of rectangular pyramid = 1 / 3 Bh

where

• B = base area
• h = height of the pyramid

Therefore, the total volume is as follows:

total volume = Bh +  1 / 3 Bh

total volume = 40 × 30 × 5 + 1 / 3 (30 × 40) × 95

total volume = 6000 + 1 / 3 (114000)

total volume = 6000 + 38000

total volume = 44000 mm³

learn more on rectangular prism and pyramid here: https://brainly.com/question/16310824