Table of Contents
How do you find the volume of a cuboid when given the area?
Let the area of a rectangular sheet of paper be ‘A’, the height up to which they are stacked be ‘h’ and the volume of the cuboid be ‘V’. Then, the volume of the cuboid is given by multiplying the base area and height.
How do you find volume when given the base and area?
The formula for the volume of a prism is V=Bh , where B is the base area and h is the height.
What is base in a cube?
A cube is made of six squares; the square is therefore the base of the cube.
How do you find the base area of a cube?
Correct answer: The surface area of a cube = 6a2 where a is the length of the side of each edge of the cube. Put another way, since all sides of a cube are equal, a is just the lenght of one side of a cube. We have 96 = 6a2 → a2 = 16, so that’s the area of one face of the cube.
What is the volume of square base?
To find the volume of a square-based pyramid, use the formula V = A(h/3), where V is the volume and A is the area of the base. Collect, measure or calculate the height of the pyramid and the length of one side along its base.
What are the formulas of square?
Perimeter, Area, and Volume
| Table 2. Area Formulas | ||
|---|---|---|
| Shape | Formula | Variables |
| Square | A=s2 | s is the length of the side of the square. |
| Rectangle | A=LW | L and W are the lengths of the rectangle’s sides (length and width). |
| Triangle | A=12bh | b and h are the base and height |
How do you find the volume of a cuboid with dimensions?
V = lwh Where: V = Volume of the Cuboid l = Length of the Cuboid w = Width of the Cuboid h = Height of the Cuboid Let’s solve an example Find the volume of a cuboid with a length of 6 cm, width of 2 cm and a height of 10 cm.
What is the height of the cuboid?
Therefore, the height of the cuboid is 13 cm. Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the volume of a cuboid. To get the answer and workings of the volume of a cuboid using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.
What is the surface area of a 150 cm2 cuboid?
A cuboid has a total surface area of 150cm2 and is such that its base is a square of side xcm. Show that the height, hcm, of the cuboid is given by h = 75−x2 2x. A cuboid with side lengths x, x and h has a surface area of S = 2×2 +4xh. We know that the total surface area should be 150cm2, so.
How do you find the maximum volume of a variable x?
V= x2h = x2(75−x2 2x) = 75 2 x− 1 2×3. V = x 2 h = x 2 ( 75 − x 2 2 x) = 75 2 x − 1 2 x 3. Hence determine, as x x varies, its maximum volume and show that this volume is a maximum.