Question

ngie packed same-size cubes into a rectangular prism.

Image shows a base of cubes 3 units long, 2 units wide, and with a column of cubes 1 cube wide and 7 cubes tall.

What is the number of cubes needed to fill this prism?

(1 point)
Responses

20 cubes

20 cubes

35 cubes

35 cubes

36 cubes

36 cubes

42 cubes

42 cubes

Answer 1

The total number of cubes needed to fill this prism is 3 x 2 x 7 = 42 cubes.

Therefore, the correct answer is 42 cubes.

Answer 2

Which expression can be used to find the volume
of the rectangular prism in cubic centimeters?

Image shows a prism with a base area of 245 square cm and a height of 85 cm.

(1 point)
Responses

85+245
85 + 245

85×85×245
85 × 85 × 245

85+ (85× 245)
85 + ( 85 × 245 )

85×245

Answer 3

The volume of a rectangular prism can be found by multiplying the base area by the height.

So, the correct expression to find the volume in cubic centimeters is 85 x 245.

Therefore, the correct answer is 85 x 245.

Answer 4

Max's carton has a height of 6 inches with a base area of 12 inches squared. Tucker's carton has a height of 7 inches with a base area of 10 inches squared. How much more volume does Max's carton have than Tucker's? Explain how you know.

(4 points)

Answer 5

To find the volume of a rectangular prism, you need to multiply the base area by the height.

For Max's carton:
Volume = Base Area * Height = 12 * 6 = 72 cubic inches

For Tucker's carton:
Volume = Base Area * Height = 10 * 7 = 70 cubic inches

To find how much more volume Max's carton has than Tucker's carton, you subtract Tucker's volume from Max's volume:
72 (Max's volume) - 70 (Tucker's volume) = 2 cubic inches

Therefore, Max's carton has 2 more cubic inches of volume than Tucker's carton.