Final answer:
To find the volume of a square prism, measure the side length of the base, square it to find the area (A), then multiply by the height (h) using the formula V = Ah. The provided formula v=12h is incorrect for a square prism unless '12h' is a specific example given.
Step-by-step explanation:
The student is trying to calculate the volume of square prisms using the formula v=12h, where v stands for volume and h stands for height. To find the volume of a square prism, one must know the area of the base (A) which for a square prism is the length of a side squared (s2) and multiply it by the height (h). The correct formula to calculate volume is V = Ah.
Step-by-step:
- Measure the length of one side of the square base (s).
- Calculate the area of the base with A = s2.
- Measure the height of the prism (h).
- Calculate the volume with V = A × h, by multiplying the area of the base by the height of the prism.
The volume formula the student provided (v=12h) seems incorrect for calculating the volume of a square prism unless '12h' is a given or specific example for a calculation. In general, to find the
volume
of the square prism, the correct formula involves the area of the base and the height, as explained.
To answer the CHECK YOUR UNDERSTANDING 1.5, the volume of a sphere is given by 4πr3/3, whereas the surface area is 4πr2.