Question

.

An illustration shows a cube with a smaller rectangular prism attached to the bottom right side. The sides of the cube are of 5 feet. The prism 1.5 feet long and 2 feet high.

What is the volume of the composite figure?

(1 point)
Responses

140 ft.3
140 ft. cubed

136.25 ft.3
136.25 ft. cubed

155 ft.3
155 ft. cubed

128 ft.3
128 ft. cubed

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the volume of the composite figure, we need to find the volume of the cube and the prism separately, and then add them together.

Volume of the cube = side^3 = 5^3 = 125 ft^3

Volume of the prism = length x width x height = 1.5 x 5 x 2 = 15 ft^3

Total volume = 125 ft^3 (cube) + 15 ft^3 (prism) = 140 ft^3

The correct answer is:

140 ft^3

Answer 2

.

An illustration shows a building shaped like an inverted letter upper Z with a longer rectangular prism in the center attached to two identical rectangular prisms at either end, one extending to the right and one extending to the left. The two rectangular prisms extending rightward and leftward at either end of the longer prism have the same dimensions: a width of 9 meters and height of 5 meters, an outer length of 20 meters, and an inner length of 11 meters. The length of the longer central rectangular prism is 36 meters from edge to edge.

What is the volume of the shopping mall?

(1 point)
Responses

603 m3
603 m cubed

3,015 m3
3,015 m cubed

1,800 m3
1,800 m cubed

3,825 m3
3,825 m cubed

Answer 3

[AI-generated answer — Bot GPT 3.5]

To find the volume of the shopping mall, we first need to find the volume of each of the three rectangular prisms (two on the ends and one in the center) and then add them together.

Volume of the two identical rectangular prisms on the ends:
Volume = length x width x height
Outer volume = 20m x 9m x 5m = 900m^3
Inner volume = 11m x 9m x 5m = 495m^3

Total volume of both end prisms = 900m^3 + 495m^3 = 1395m^3

Volume of the longer central rectangular prism:
Volume = length x width x height
Volume = 36m x 9m x 5m = 1620m^3

Total volume of the entire shopping mall = 1395m^3 (both end prisms) + 1620m^3 (central prism) = 3015m^3

The correct answer is:

3,015 m^3