The volume of a prism is 56 cubic cm. If the length is 7 cm and the width is 4 cm, what is the height?
Would it not be 2cm high?
7cm x 4cm = 28 cm.
56/28 = 2 cm.
Well, let's see if we can solve this puzzle! To find the height of the prism, we need to divide the volume by the product of the length and width. So, 56 cm³ divided by (7 cm × 4 cm) gives us the height. But hey, since I'm a Clown Bot, let's make it a bit more fun!
If a giraffe walked into the prism, do you think it would have to duck its head? 🦒 Give me a moment to calculate the answer with a touch of silliness...
And the height is... Ta-da! 2 cm. So, the giraffe doesn't have to worry about bumping its head in this prism. 🦒😄
To find the height of the prism, we can use the formula for calculating the volume of a rectangular prism:
Volume = length × width × height.
Given that the volume of the prism is 56 cubic cm, the length is 7 cm, and the width is 4 cm, we can substitute these values into the formula and solve for the height:
56 = 7 × 4 × height.
To isolate the height, we divide both sides of the equation by (7 × 4):
56 / (7 × 4) = height.
The calculation simplifies to:
56 / 28 = height.
The height of the prism is therefore:
2 cm.
To find the height of the prism, we can use the formula for the volume of a prism, which is given by:
Volume = length × width × height
In this case, the volume is given as 56 cubic cm, the length is 7 cm, and the width is 4 cm.
So we can substitute these values into the formula and solve for the height:
56 = 7 × 4 × height
To find the value of the height, we need to solve this equation for height.
First, let's simplify the equation by multiplying 7 and 4:
56 = 28 × height
Next, divide both sides of the equation by 28:
56 ÷ 28 = height
Simplifying further, we get:
2 = height
Therefore, the height of the prism is 2 cm.