Find the surface area to volume ratio for a rectangular prism with edge lengths 7, 5 and 11
Surface Area = 2*[(7x5)+(7X11)+(5X11)] =?
Volume = 7x5x11 = ?
Compute the numbers and then take the ratio.
find the surface area for the right prism height: 12m Width: 10m length: 12m
To find the surface area to volume ratio for a rectangular prism, you need to calculate both the surface area and the volume of the prism.
The surface area of a rectangular prism can be found by adding up the areas of all six faces. In this case, the rectangular prism has three pairs of identical faces: two pairs of faces with dimensions 7 x 5, two pairs of faces with dimensions 7 x 11, and two pairs of faces with dimensions 5 x 11. The formula for calculating the surface area is:
Surface Area = 2(lw + lh + wh)
where l, w, and h are the edge lengths of the rectangular prism.
In this case, the edge lengths given are: l = 7, w = 5, and h = 11.
Plugging these values into the formula, we get:
Surface Area = 2(7*5 + 7*11 + 5*11) = 2(35 + 77 + 55) = 2(167) = 334
So, the surface area of the rectangular prism is 334 square units.
The volume of a rectangular prism can be found by multiplying its dimensions. The formula for calculating the volume is:
Volume = lwh
Using the given edge lengths, we can compute the volume as:
Volume = 7 * 5 * 11 = 385
Therefore, the volume of the rectangular prism is 385 cubic units.
To find the surface area to volume ratio, divide the surface area by the volume:
Surface Area to Volume Ratio = Surface Area / Volume = 334 / 385 ≈ 0.8688
So, the surface area to volume ratio for the given rectangular prism with edge lengths 7, 5, and 11 is approximately 0.8688.