1. What shape is it?
This is a box, so it's a rectangular prism. On rectangular prisms, I need to pick 2 opposite sides as my bases. I am going to choose the top of the shape, and the bottom of the shape. This means that my base is square because the dimensions are 6x6.
2. Write the formulas
general V=Bh
specific to rectangular prisms V=(b * h) * h
3. Plug the numbers in:
I get the 6x6 from my base, then the only different number is 3. If it was a cube, the numbers would all be 6.
V=(6 * 6) * 3
4. Solve
Pretty clear here:
36*3 = 108
108 mi^3
1. What shape is it?
This is a ramp, so it's a triangular prism.
2. Write the formulas
general V=Bh
specific to triangular prisms V=(0.5 * b * h) * h
3. Plug the numbers in:
The two bases are triangles, so I need to be looking for that right angle. It's in the bottom corner, so my dimensions for my triangle are 8*6. It looks like the dimensions for each rectangle are 10*8, 6*8, and 8*8, so that means my height is 8.
V=(0.5 * 8 * 6) * 8
8 * 6= 48
48 * 0.5 = 24
24 * 8 = 192
192 in^3
This is a can, so it's a cylinder.
2. Write formulas
general V=Bh
specific to cylinders V=(pi * r^2) * h
3. Plug the numbers in:
20 cm is for the whole way across the circular base. That means I need half that for radius, so 10. The only other number on here is 9.
V=(3.14 * 10^2) * 9
10^2 = 100.
100 * 3.14 = 314
13
314
* 9
____
2826
2826 cm^3
We'll do pyramids and cones later.
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