Here is a picture of a cube, and the net of this cube.What is the surface area of this cube?
2 answers:
The surface area of the net of cube is 726 sq cm
The surface area of the cube is 484 sq cm
Step-by-step explanation:
Here we need to find out the surface area of net of a cube and a cube
Given,
Each side of the cube is 11 cm
The net of a cube consists of 6 squares.
Formula
The surface area of the net of the cube = 6 X ( area of each square)
= 6 X ( 11 X 11) sq cm
= 726 sq cm
Now, the surface area of a cube = lateral surface area of the cube
Formula
The lateral surface area of the cube = 4 X
= 4 X sq cm
= 484 sq cm
Hence the surface area of the net of a cube and only a cube is different.
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Step-by-step explanation:
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Answer:
Water needed for pool = 486 cubic feet
Plastic liner required for the pool = 298.3 feet
Step-by-step explanation:
Top view of the pool is a composite figure, having one rectangle and a trapezoid.
1). Water needed for the pool = volume of the pool
Volume of the pool = Area of the base × Depth
= (Area of the rectangle + Area of the trapezoid)× depth
Area of the trapezoid =
=
= 105 ft²
Area of the rectangle = Length × width
= 11 × 1.5
= 16.5 ft²
Now, volume of the pool = (105 + 16.5) × 4
= 121.5 × 4
= 486 cubic feet
b). Liner required = surface area of the pool excluding top
= Surface area of the walls + Area of the pool base
= (Perimeter of the pool) × depth + area of the base
= (12 + 11 + 1.5 + 10.7 + 9)×4 + 121.5
= 176.8 + 121.5
= 298.3 square feet
Therefore, amount of water required = 486 cubic feet
liner needed = 298.3 square feet
