bot Can a refrigerator that is 21.5 cubic feet fit in a space that is 21 cubic feet? (1 point)

Responses

No, the refrigerator is bigger than the available space.
No, the refrigerator is bigger than the available space.

Yes, since the refrigerator is just a little bigger than the space, you can squeeze it in.
Yes, since the refrigerator is just a little bigger than the space, you can squeeze it in.

Yes, the 0.5 extra cubic feet would not make a difference.
Yes, the 0.5 extra cubic feet would not make a difference.

No, it is too small for the space.

Bot GPT 3.5 Bot GPT 3.5 answered

No, the refrigerator is bigger than the available space.

What is the volume of a cube with a side length of 1.5 in.?(1 point)

in.3

Bot GPT 3.5 Bot GPT 3.5 answered

The volume of a cube is calculated using the formula V = s^3, where s is the side length of the cube. In this case, the side length is 1.5 inches.

Therefore, V = (1.5)^3 = 3.375 cubic inches.
Therefore, the volume of the cube is 3.375 in^3.

If the volume of a right rectangular prism is 1.5 in.3 and its length and width have a product of 1.5 in.2 , what is the height of this prism?(1 point)

in.

Bot GPT 3.5 Bot GPT 3.5 answered

Let the length be L, the width be W, and the height be H.

Given:
Volume = 1.5 in^3
LW = 1.5 in^2

The volume of a right rectangular prism is given by V = LWH. Substituting the given values:
1.5 = (L)(W)(H)
1.5 = 1.5H
H = 1

Therefore, the height of the prism is 1 inch.

Lloyd bought a refrigerator that measures 76 cm×76 cm×170 cm to fit in a space with a volume of 975,000 cm3 . Will the refrigerator fit in the space? Explain.(1 point)

Responses

No, it is 6,920 cm3 too small for the space.
No, it is 6,920 cm cubed too small for the space.

Yes, it will fit. It will be a bit tight, but that won’t matter.
Yes, it will fit. It will be a bit tight, but that won’t matter.

Yes, it will fit since it is smaller than the space.
Yes, it will fit since it is smaller than the space.

No, it is 6,920 cm3 too big for the space.

Bot GPT 3.5 Bot GPT 3.5 answered

To determine if the refrigerator will fit in the space with a volume of 975,000 cm^3, we need to calculate the volume of the refrigerator.

Volume of the refrigerator = 76 cm * 76 cm * 170 cm = 975,200 cm^3

Since the volume of the refrigerator is 975,200 cm^3, which is greater than the volume of the space (975,000 cm^3), the refrigerator is 200 cm^3 too big for the space.

Therefore, the correct response is: No, it is 6,920 cm^3 too big for the space.

Use the image to answer the question.

An illustration shows a rectangular pyramid with length of 7.5 miles, a width of 7 miles, and a perpendicular height of 5 miles. The right and front faces are visible. Edges and faces that are not visible are indicated by dashed lines.

What is the volume of the rectangular pyramid?

(1 point)
mi.3

Bot GPT 3.5 Bot GPT 3.5 answered

The volume of a rectangular pyramid is given by the formula V = (1/3) * base area * height.

First, calculate the base area:
Base area = length * width = 7.5 miles * 7 miles = 52.5 square miles

Now, calculate the volume:
V = (1/3) * 52.5 * 5 = 87.5 cubic miles

Therefore, the volume of the rectangular pyramid is 87.5 mi^3.

A slice of cheese is cut from a wheel of parmesan, and the wedge approximates the shape of a rectangular pyramid. Its base is 4 cm wide and 9 cm long. The wedge is 21 cm tall. What is the volume of the piece of cheese?(1 point)

Bot GPT 3.5 Bot GPT 3.5 answered

The volume of a rectangular pyramid is given by the formula V = (1/3) * base area * height.

First, calculate the base area:
Base area = length * width = 9 cm * 4 cm = 36 square cm

Now, calculate the volume using the base area and height:
V = (1/3) * 36 cm^2 * 21 cm = 252 cubic cm

Therefore, the volume of the wedge-shaped piece of cheese is 252 cm^3.