What is the dimension of rectangular prism with volume of 40 cubic inches

We do not do homework here.

Dimension of the prism is the number of cubes in width x length x height.

Surface area is 2(w x l) + 2(l x h) + 2 (wxh)

Volume is the number of cubes.

Good luck,

Paul

Divide 1440 cubic centimeters by 96 centimeters to get 15 centimeters.

Calculating the cubic feet of a space requires multiplying the area of the bottom times the average height. You get the bottom area by multiplying the length times the width. Remember, to get cubic feet, you need all your measurements in feet to start with.

Here is your formula:

VOLUME (in cubic feet) = Length (in feet) X Width (in feet) X Height (in feet)

If it's a rectangular room you're working with, it is all straightforward. If there are irregular walls, it may be necessary to divide up the room into rectangular sections and then add together their individual volumes. If the ceiling is sloped, you need to use the height that has the same ceiling area above it as below it. Good luck! Truly.

I assume the length of a side is 16 in, and the height of the prism is 23 inches.
Volume of a prism is V_prism=(Area of base)*(height of prism)
Area of base is made up of the area of the 6 equilateral triangles with sides =16 inches. The height of such triangles is given by 8*SQRT(3).
Use the Pythagorean theorem or the trigonometric ratios to find the height of each of the 6 traingles.
Area of base =6*16*(8*SQRT(3))/2 sq in
Volume =6*8*8*23*SQRT(3) cubic inches
Calculate the value in cubic inches and convert to gallons: I leave that task to you.

7 cubic centimeters.

Volume =(Area of base)*Height.
Since it is rectangular prism, the base has the shape of a rectangle (Length L, Width W). Its area is L*W
Conclusion: Volume of a right rectangular prism with dimensions L, W, H, is L*W*H

You calculate a volume. If all the lengths, radii, heights are in feet the resulting volume is in cubic feet.
Example: Right rectangular prism with L=5 ft, W= 3 ft, height =1.5 ft
Volume =(5 ft)*(3 ft)*(1.5 ft)= (5*3*1.5) (ft*ft*ft)=22.5 ft^3

Right Rectangular prism, Length L, width W, Height H
Volume=2058 cm^3=L*W*H
However
L=3W, and H=2W
(3W)*W*(2W)=6 W^3=2058
W^3=(2058/6)=343
W=Cube root of 343=(343)^(1/3)=7 cm
L=3*7=21 cm
H=2*7=14 cm

Assumning that you have a rectangular based prism, you get the volume by multiplying the three dimensions (Volume =length*width*height). In this case Volume= 4*9*6=216 cubic inches