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To find the dimensions of a rectangular prism with a volume of 18 cm³ and a surface area of 54 cm², we can use the volume formula ( V = l \times w \times h ) and the surface area formula ( SA = 2(lw + lh + wh) ). By setting up the equations, we can determine possible dimensions. One solution that satisfies both conditions is ( l = 3 ) cm, ( w = 3 ) cm, and ( h = 2 ) cm.

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2mo ago

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Related Questions

How do you find the dimensions of a rectangular prism from the volume?

You can't tell the dimensions of a rectangle from its area, or the dimensions of a prism from its volume.


What is the volume of a rectangular prism that has these dimensions 2ft3ft5ft?

2x3x5=30 The volume of a rectangular prism is 30 feet.


What is the volume of a rectangular prism if the surface area is 34?

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.


Describe the dimensions of a rectangular prism with a volume of 80 and a surface area of less than 132?

5x4x4 Volume=80 Surface Area=112


Is a rectangular prism 16 in cubic units?

To determine if a rectangular prism has a volume of 16 cubic units, you need to know its dimensions (length, width, and height). The volume of a rectangular prism is calculated by multiplying these dimensions together: Volume = length × width × height. If the product of the dimensions equals 16, then yes, the rectangular prism has a volume of 16 cubic units; otherwise, it does not.


Do rectangular prisms with the same volume have the same surface area?

No, rectangular prisms with the same volume do not necessarily have the same surface area. The surface area depends on the dimensions of the prism, which can vary even if the volume remains constant. For example, a long, thin prism and a short, wide prism can both have the same volume but different surface areas. Thus, while volume is a fixed quantity, surface area can differ based on the specific dimensions used.


Find the volume of a rectangular prism whose dimensions are twice those of another rectangular prism that has a volume of 120 cm3?

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.


How do you find the dimensions of a rectangular prism from centimeter cubes?

Just knowing the volume in centimeters cubed of a rectangular prism would not allow you to find the dimensions.


What is the volume of a rectangular prism that has these dimensions 2ft3ft 5ft?

30ft


When you quadruple the dimensions of a rectangular prism the volume is?

The volume is multiplied by [4³ = 64]


What happens to the volume of a rectangular prism if two dimensions are doubled?

The volume is quadrupled.


If you double the volume of a rectangle prism will the surface area too?

No, doubling the volume of a rectangular prism does not necessarily double the surface area. The relationship between volume and surface area depends on the dimensions of the prism. For example, if you double the height while keeping the base area constant, the volume increases, but the surface area may not double. The specific changes in dimensions will determine the new surface area.