Cassandra calculated the total volume of the figure below. A rectangular prism has a length of 7 inches, width of 6 inches, and height of 7 inches. A rectangular pyramid has a base of 6 inches by 7 inches and a height of 3 inches. Total volume = V of prism – V of pyramid       = Bh - Bh       = (7)(6) (7) – (7)(6)(3)       = 294 – 126       = 168 square inches What mistakes did Cassandra make? Check all that apply. She used square units instead of cubic units. In calculating the volume of the pyramid, she did not multiply by 1/3. She incorrectly identified the shapes composing the total figure. She subtracted the pyramid volume instead of adding it. She should have multiplied the dimensions of the prism by 1/3.

Respuesta :

Answer:

1,2,4

Step-by-step explanation:

The total volume of the figure is 336 in³. She made a mistake by not using 1 / 3 (rectangular pyramid) and subtracting the volume.

Volume of a rectangular prism

volume of a rectangular prism = Bh

where

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

Volume of a rectangular pyramid

volume of a rectangular pyramid = 1 / 3 Bh

where

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

Therefore, the total volume of the figure can be calculated as follows:

total volume  = Bh + 1 / 3 Bh

total volume = 7 × 6 × 7 + 1 / 3 × 6 × 7 × 3

total volume = 294 + 42

total volume = 336 inches³

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