contestada

lisa brought a tank for her hermit crab. the lank can hold 1,331 cubic inches of water and includes a top. the base of the aquarium is a square. the height of the aquarum is 11 inches. what is the lenght of each side of the base of the tank, what is the shape of the tank and what is the surface area of the tank

Respuesta :

The formula for volume of a prism is V=(the area of the base*height). Substitute the known values so you have:
1331=11(A)
A=1331/11
A=121 in²

The base is a square, making its area is s², so you have the equation:
s²=121
s=11 in

This makes all the side lengths the same, making the tank shape a cube. 

To find the surface area of a cube, use the formula SA=6s². Substitute the known value in so you have:
SA=6*11²
SA=6*121
SA=726 in²

The final answer is that the tank is cube-shaped with a surface area of 726 in².