You can't tell the dimensions of a rectangle from its area, or the dimensions of a prism from its volume.
Just knowing the volume in centimeters cubed of a rectangular prism would not allow you to find the dimensions.
The ratio of the volumes of similar solids is (the ratio of their linear dimensions)3 .
You cannot. It could be a long narrow prism or a short squat one and the volume alone does not tell you which one of these shapes - or something in between - the prism has.
Volume = length X width X height. Therefore, take the cube root of the volume to find all the dimensions
You can't tell the dimensions of a rectangle from its area, or the dimensions of a prism from its volume.
Just knowing the volume in centimeters cubed of a rectangular prism would not allow you to find the dimensions.
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If the volume of the first rectangular prism is 120 cm3, then its dimensions are ∛120 ≈ 5.92 cm. Since the second prism's dimensions are twice those of the first, its dimensions are 2 * 5.92 = 11.84 cm. Therefore, the volume of the second prism is 11.84^3 = 1654.83 cm3.
To find the volume of a prism, multiply the area of the base by the height of the prism. The volume is typically expressed in cubic units. So, if the prism is in inches, the volume would be in cubic inches.
You cannot. There is not enough information.
The ratio of the volumes of similar solids is (the ratio of their linear dimensions)3 .
You cannot. It could be a long narrow prism or a short squat one and the volume alone does not tell you which one of these shapes - or something in between - the prism has.
Volume = length X width X height. Therefore, take the cube root of the volume to find all the dimensions
You don't. You need the height and the area of the base to find the volume.
The number will just be more precise and you might need to round.
To find the volume of a rectangular prism when given the surface area, we need more information than just the surface area. The surface area of a rectangular prism is calculated using the formula 2lw + 2lh + 2wh, where l, w, and h are the length, width, and height of the prism, respectively. Without knowing at least one of these dimensions, we cannot determine the volume of the prism.