Lisa bought a tank for her hermit crab. The tank can hold 1,331 cubic inches of water and includes a top. The base of the aquarium is a square. The height of the acquarium is 11 inchew.
A)What is the length of each side of the base of the tank?
B)What shape is Lisa's tank?
C)Draw a net of the tank.
D)What is the surface area of the tank?
THANK YOU!!
A. 11 in.
because it has a square base.
B. Cube
because it says cubic inches.
D. 726 cubic inches
T/B=2[11*11]=242
L/R=2[11*11]=242
F/B=2[11*11]=242
=726
11 s^2 = 1331
s^2 = 121
s = 11 the thing is a cube
surface area = s^2
It’s dumb quiet school
A) Well, since the aquarium is a square base, that means all sides of the base are equal. To find the length of each side, we can take the square root of the total volume of the tank: √1331 = 37 inches.
B) Lisa's tank is square-shaped because the base is a square.
C) Here is a net diagram of Lisa's tank:
______________
/ /|
/ / |
/ / |
/ / |
/______________/ |
| | |
| | /
| | /
| | /
|______________|/
D) To find the surface area of the tank, we need to find the area of all the individual faces and add them up. Since the base is a square, the area of the base is (side length)² = 37² = 1369 square inches. And since the tank has four sides (excluding the top), the total surface area would be 4 times the base area plus the area of the top. So, 4(1369) + 1369 = 6845 square inches.
A) To find the length of each side of the base of the tank, we first need to determine the volume of the tank. The formula for the volume of a rectangular prism (which the tank is) is given by: V = l x w x h, where V is the volume, l is the length, w is the width, and h is the height.
In this case, we have the volume of the tank as 1,331 cubic inches, and the height (h) is given as 11 inches. We are trying to find the length of each side of the base, which we can call x.
Substituting the given values into the formula, we have:
1,331 = x x x x 11
1,331 = 11x^2
To solve for x, divide both sides of the equation by 11:
x^2 = 121
x = √121
x = 11
Therefore, the length of each side of the base of the tank is 11 inches.
B) Since the base of the tank is a square, the shape of Lisa's tank is a rectangular prism with a square base.
C) To draw a net of the tank, we need to represent the shape of the tank when it is unfolded and laid flat. Since the base is a square, let's draw a square. Then draw four vertical lines from each corner of the square, indicating the height of the tank. Connect the corresponding lines to create a rectangle on top of the square. Finally, connect the remaining lines to form the other rectangle on the bottom of the square. This represents a net of the tank.
D) To find the surface area of the tank, we need to calculate the area of each face and add them together. The tank has six faces: four walls (the sides of the rectangular prism), the base (the square), and the top.
The area of each wall is found by multiplying the length of the base (11 inches) by the height (11 inches). Since there are four walls, the total area of the four walls is 4 x (11 x 11) = 484 square inches.
The area of the base (the square) is found by squaring the length of each side (11 inches). Therefore, the area of the base is 11 x 11 = 121 square inches.
The area of the top is the same as the area of the base, which is 121 square inches.
To find the surface area, we add the areas of all the faces: 4 walls (484 square inches) + base (121 square inches) + top (121 square inches).
Surface area = 484 + 121 + 121 = 726 square inches.
Therefore, the surface area of the tank is 726 square inches.