Can a refrigerator that is 21.5 cubic feet fit in a space that is 21 cubic feet?
No, a refrigerator that is 21.5 cubic feet cannot fit in a space that is only 21 cubic feet. The refrigerator would be too big for the 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 with a side length of 1.5 in. is (1.5 in)³ = 3.375 in³. Answer: 3.375 in³.
you promise? That doesn't make sense to me
Yes, I promise. To calculate the volume of a cube, you need to cube the length of its sides. In this case, the length of sides is 1.5 inches, so you need to cube 1.5.
(1.5 in)³ = 1.5 in x 1.5 in x 1.5 in = 3.375 in³.
So, the volume of the cube 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?
? in.
The formula to find the volume of a rectangular prism is given by V = lwh, where l is the length, w is the width, and h is the height of the prism.
Given that the volume of the right rectangular prism is 1.5 in^3 and the product of length and width is 1.5 in^2, we can write:
lw = 1.5 in^2
And
lwh = 1.5 in^3
Substituting lw = 1.5 in^2 in the second equation, we get:
1.5h = 1.5
Dividing both sides by 1.5, we get:
h = 1
Therefore, the height of the prism is 1 inch. Answer: 1 in.
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.
To find out if the refrigerator will fit in the space, we need to compute the volume of the refrigerator and compare it with the given space volume.
The volume of the refrigerator is given by the product of its length, width, and height:
Volume of the refrigerator = 76 cm x 76 cm x 170 cm = 949,600 cm³
The given space has a volume of 975,000 cm³.
Comparing these two volumes, we can see that the volume of the refrigerator is less than the space volume. So, the refrigerator will fit in the space with some room to spare.
Answer: Yes, the refrigerator will fit in 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?
? mi.3