Volume of Prism and Pyramids

A rectangular prism and a rectangular pyramid have congruent bases with the area B. If both of the figures have the same height, h, which formula could be used to find the volume of the rectangular prism?

• V = B + h

• V = 1/3Bh

• V = 3Bh

• V = Bh

Tags

CCSS.7.G.B.6

630 in³ is the volume of a triangular prism. If a triangular pyramid had the same dimensions as the triangular prism, what would the volume be of the prism?

• 630 in³

• 315 in³

• 210 in³

• 1,890 in³

Tags

CCSS.HSG.GMD.A.3

What is the volume of this rectangular pyramid in cubic feet?

• 15 ft³

• 35 ft³

• 105 ft³

• 75 ft³

Tags

CCSS.HSG.GMD.A.3

A rectangular pyramid has a volume of 500 cm³. What would the volume be in cubic centimeters of a rectangular prism with the same base and height as the pyramid?

• 500 cm³

• 167 cm³

• 1,000 cm³

• 1,500 cm³

Tags

CCSS.HSG.GMD.A.3

London created a trophy shaped like a triangular prism. The trophy has a base length of 5 cm, a base height of 12 cm. The trophy is 20 cm tall. Which of the formulas could be used to find the volume of the trophy?

Check 2 Answers !!

• V = (5 · 12) · 20

Tags

CCSS.7.G.B.6

Riley is delivering pizza. The box is in the shape of a rectangular prism. The volume of the pizza box Riley is delivering is (a)   .

Tags

CCSS.7.G.B.6

A rectangular prism has a volume of 622 cubic inches. What formula could be used to find the volume, V, of a rectangular pyramid with the same base area and height?

Check 2 answers!!

• V = 622

• V = 3 x 622

Tags

CCSS.HSG.GMD.A.3

A triangular prism and a triangular pyramid have congruent bases with the area B. If both of the figures have the same height, h, which formula could be used to find the volume of the triangular pyramid?

• V = B + h

• V = 1/3 Bh

• V = 3Bh

• V = Bh

Tags

CCSS.HSG.GMD.A.3

A chocolate company is going to redesign the look of their chocolate bars. The dimensions of a triangular prism are shown in the diagram. What is the volume of the chocolate bar in cubic centimeters?

• 864 cm³

• 1152 cm³

• 1728 cm³

• 2304 cm³

Tags

CCSS.7.G.B.6

Some of the dimensions of a square pyramid are shown below. The height of the pyramid is 8 meters. The volume of the square pyramid in cubic meters is (a)   .

Tags

CCSS.HSG.GMD.A.3