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, 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.
No, it is too small for the space.
Yes, since the refrigerator is just a little bigger than the space, you can squeeze it in.
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)
The volume of a cube can be calculated using the formula V = s^3, where s is the length of one side of the cube. In this case, the side length is 1.5 inches.
V = (1.5)^3 = 3.375 cubic inches
Therefore, the volume of the cube with a side length of 1.5 inches is 3.375 cubic inches.
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)
Let the length be l, width be w, and height be h.
Given:
Volume = 1.5 in^3
l * w = 1.5 in^2
The volume of a right rectangular prism is given by the formula V = lwh.
Substitute the values into the formula:
lwh = 1.5
lw = 1.5
Since lw = 1.5, we get:
l = 1.5/w
Now substitute this into the original volume equation:
(1.5/w)*wh = 1.5
h = 1.5/(1.5/w)
h = w
Therefore, the height of the prism is equal to its width.
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.
No, it is 6,920 cm3 too big for the space.
No, it is 6,920 cm cubed too big for the space.
Yes, it will fit since it is smaller than the space.
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 first.
Given:
Length = 76 cm
Width = 76 cm
Height = 170 cm
Calculate the volume of the refrigerator:
V = 76 cm x 76 cm x 170 cm = 976,640 cm^3
The volume of the refrigerator is 976,640 cm^3. This means the refrigerator is slightly bigger than the available space, which has a volume of 975,000 cm^3.
Therefore, the correct response is:
No, it is 6,920 cm^3 too big for the space.
Volume Unit Test
5 of 155 of 15 Items
Question
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)
To calculate the volume of a rectangular pyramid, you can use the formula V = (1/3) * base area * height.
Given:
Length = 7.5 miles
Width = 7 miles
Height = 5 miles
First, calculate the base area of the rectangular pyramid:
Base Area = Length * Width
Base Area = 7.5 miles * 7 miles
Base Area = 52.5 square miles
Now, substitute the values into the volume formula:
V = (1/3) * 52.5 square miles * 5 miles
V = (1/3) * 262.5 cubic miles
V = 87.5 cubic miles
The volume of the rectangular pyramid is 87.5 cubic miles.