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Find the volume of each LL block 1111 in 55 in 44 in 1515 in

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Q. Find the volume of each LL block 1111 in 55 in 44 in 1515 in
  1. Identify Prisms: Identify the two rectangular prisms that make up the L-shaped block.
  2. Calculate Volume 11: Calculate the volume of the first prism using the formula Volume=length×width×height\text{Volume} = \text{length} \times \text{width} \times \text{height}. The dimensions are 11 in×5 in×4 in11 \, \text{in} \times 5 \, \text{in} \times 4 \, \text{in}.\newlineVolume=11×5×4=220 in3\text{Volume} = 11 \times 5 \times 4 = 220 \, \text{in}^3.
  3. Calculate Volume 22: Calculate the volume of the second prism. The dimensions are 15 in×5 in×(11 in−4 in)15 \, \text{in} \times 5 \, \text{in} \times (11 \, \text{in} - 4 \, \text{in}) since the height is the total height minus the height of the first prism.\newlineVolume = 15×5×(11−4)=15×5×7=525 in315 \times 5 \times (11 - 4) = 15 \times 5 \times 7 = 525 \, \text{in}^3.
  4. Add Volumes: Add the volumes of the two prisms to get the total volume of the L-shaped block.\newlineTotal Volume = 220 in3+525 in3=745 in3220 \, \text{in}^3 + 525 \, \text{in}^3 = 745 \, \text{in}^3.

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