josh is building a money bank to hold his change. He wants it to be in the shape of a house, with a rectangular prism base and a rectangular pyramid for a roof. the prism base is 20cm wide, 15cm long, and 20cm tall. the pyramid roof has a length of 15 cm, a width of 20 cm, and an altitude of 10 cm.
1. break the bank into two figures. what are they?
2. use the volume formulas for each. which ones would we use?
3. add the two volumes together to get the total volume of the bank.
1. The two figures that make up the bank are a rectangular prism base and a rectangular pyramid roof.
2. To calculate the volume of the rectangular prism base, we would use the formula: V = length x width x height.
To calculate the volume of the rectangular pyramid roof, we would use the formula: V = (1/3) x base area x height.
3. To get the total volume of the bank, we would add the volume of the rectangular prism base to the volume of the rectangular pyramid roof.