Can a refrigerator that is 21.5 cubic feet fit in a space that is 21 cubic feet? (1 point)
Responses
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.
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.
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
The volume of a cube can be found using the formula V = s^3, where s is the length of one of the sides of the cube.
If the side length is 1.5 inches, then the volume would be:
V = (1.5 in.)^3
V = 1.5 in. * 1.5 in. * 1.5 in.
V = 3.375 in.^3
Therefore, the volume of the cube with a side length of 1.5 inches 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.
To find the height of the right rectangular prism, we need to use the formula for the volume of a rectangular prism, which is V = l * w * h, where l is the length, w is the width, and h is the height.
Given that the volume is 1.5 in.^3 and the product of the length and width is 1.5 in.^2, we can write two equations using the given information:
Equation 1: V = l * w * h
1.5 = 1.5 * h
Equation 2: l * w = 1.5
l * w = 1.5
From Equation 1:
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 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.
No, it is 6,920 cm cubed too big for the space.
Yes, it will fit. It will be a bit tight, but that won’t matter.
To determine whether the refrigerator will fit in the space with a volume of 975,000 cm^3, we calculate the volume of the refrigerator first.
Given dimensions of the refrigerator are 76 cm x 76 cm x 170 cm, the volume of the refrigerator is calculated as follows:
Volume = Length x Width x Height
Volume = 76 cm x 76 cm x 170 cm
Volume = 923,360 cm^3
Since the volume of the refrigerator (923,360 cm^3) is smaller than the volume of the space (975,000 cm^3), the refrigerator will fit in the space with room to spare.
Therefore, the correct response is:
Yes, it will fit since it is smaller than the space.
What is the volume of the pyramid? 11cm height 7cm width 10cm length(1 point)
____ cm3
The volume of a pyramid can be calculated using the formula V = (1/3) * base area * height.
For a square pyramid, the base area is calculated as the width times the length.
Given:
- Height = 11 cm
- Width = 7 cm
- Length = 10 cm
First, calculate the base area:
Base Area = Width * Length
Base Area = 7 cm * 10 cm
Base Area = 70 cm^2
Now, calculate the volume using the formula:
V = (1/3) * Base Area * Height
V = (1/3) * 70 cm^2 * 11 cm
V = (1/3) * 770 cm^3
V = 256.67 cm^3
Therefore, the volume of the pyramid is 256.67 cm^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)
cm3