Answers Math 7 B M12 2526 S2Surface Area of Composite Figures

Volume of Prisms Answers

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Nikita calculated the volume of the right triangular prism. Her work is shown below.Nikita’s Work: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.

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A triangular prism has a base that is 6 cm by 4 cm and a height of 8 cm. If all dimensions are tripled, what happens to the volume?

When the dimensions are tripled, the volume is three times the original volume.

When the dimensions are tripled, the volume is six times the original volume.

When the dimensions are tripled, the volume is eighteen times the original volume.

When the dimensions are tripled, the volume is twenty-seven times the original volume.

A shoe box in the shape of a right rectangular prism has a base that measures 7 inches by 12 inches and is 5 inches high. What is the volume of the shoe box, in cubic inches?

245

420

What is the volume of this triangular prism?

313.6 cm

506.8 cm

5,676.16 cm

11,352.32 cm

What is the volume of this solid? Recall the formula V = Bh.

280 cubic inches

385 cubic inches

465 cubic inches

560 cubic inches

Which right triangular prism has the greatest volume?

A triangular prism. The triangular base has a base of 7 meters and height of 9 meters. The height of the prism is 6 meters.

A triangular prism. The triangular base has a base of 6 meters and height of 13 meters. The height of the prism is 5 meters.

A triangular prism. The triangular base has a base of 11 meters and height of 8 meters. The height of the prism is 8 meters.

A triangular prism. The triangular base has a base of 10 meters and height of 9 meters. The height of the prism is 8 meters.

What is the volume of the triangular prism? Round to the nearest tenth.

118.6 inches cubed

748.8 inches cubed

1,085.6 inches cubed

1,185.6 inches cubed

A swimming pool in the shape of a right rectangular prism measures 24 feet by 16 feet and is 4.5 feet deep across the entire pool. What is the volume of the swimming pool, in cubic feet?

108

324

1,728

What is the volume of this rectangular prism?