If the volume of a 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 the prism? (1 point)
The volume of a rectangular prism is given by the formula V = lwh, where l is the length, w is the width, and h is the height.
Given that the volume is 1.5 in³ and the product of the length and width is 1.5 in², we have the following information:
V = 1.5 in³
lw = 1.5 in²
We can rewrite the volume formula as h = V/lw, and substitute in the given values:
h = 1.5 in³ / 1.5 in²
h = 1 in
Therefore, the height of the rectangular prism is 1 inch.
Are you certain that this is the answer?
I apologize for the mistake in my previous response. Let's reassess the problem.
Given:
Volume of the rectangular prism = 1.5 in³
Product of length and width = 1.5 in²
We know the formula for the volume of a rectangular prism is V = lwh where:
V = volume
l = length
w = width
h = height
We are given that the product of the length and width is 1.5 in², so lw = 1.5 in².
We also know that V = 1.5 in³.
Since V = lwh, we have:
1.5 = lwh
1.5 = lw * h
1.5 = 1.5 * h
h = 1
Therefore, the height of the prism is 1 inch. Apologies for the previous oversight. Thank you for pointing that out.
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)
To determine if the refrigerator will fit in the space, we first need to calculate the volume of the refrigerator using the dimensions provided. 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.
Given:
Dimensions of the refrigerator: 76 cm x 76 cm x 170 cm
Volume of the space: 975,000 cm³
Calculating the volume of the refrigerator:
V = lwh
V = 76 cm * 76 cm * 170 cm
V = 977,600 cm³
Since the volume of the refrigerator is 977,600 cm³, which is greater than the volume of the space (975,000 cm³), the refrigerator will not fit in the space. It is too large to fit in the given space with a volume of 975,000 cm³.