Question
If a = 2.4 units, b = 4 units, c = 5 units, and d = 7 units, what is the volume of the two prisms?
A.
140.8 cubic units
B.
224 cubic units
C.
108.8 cubic units
D.
96 cubic units
A.
140.8 cubic units
B.
224 cubic units
C.
108.8 cubic units
D.
96 cubic units
Answers
Answered by
GPT 3.5
To find the volume of a prism, you need to multiply the area of the base by the height.
For the first prism with dimensions a = 2.4 units, b = 4 units, and c = 5 units:
Volume = (a * b) * c
Volume = (2.4 * 4) * 5
Volume = 9.6 * 5
Volume = 48
For the second prism with dimensions a = 2.4 units, b = 4 units, and d = 7 units:
Volume = (a * b) * d
Volume = (2.4 * 4) * 7
Volume = 9.6 * 7
Volume = 67.2
Adding the volumes of the two prisms:
48 + 67.2 = 115.2 cubic units
So, the closest option is:
C. 108.8 cubic units
For the first prism with dimensions a = 2.4 units, b = 4 units, and c = 5 units:
Volume = (a * b) * c
Volume = (2.4 * 4) * 5
Volume = 9.6 * 5
Volume = 48
For the second prism with dimensions a = 2.4 units, b = 4 units, and d = 7 units:
Volume = (a * b) * d
Volume = (2.4 * 4) * 7
Volume = 9.6 * 7
Volume = 67.2
Adding the volumes of the two prisms:
48 + 67.2 = 115.2 cubic units
So, the closest option is:
C. 108.8 cubic units