Mr. Rivera's class uses 1,782 cube-shaped blocks to build a large rectangular prism. The prism is 11 blocks long and 9 blocks wide. How many blocks represent the height of the rectangular prism? \( V=L \times W \times l \). A 162 B 12 C 1,782 (D 18

To find the height of the rectangular prism, we can use the volume formula \( V = L \times W \times H \). Here, we know the volume \( V = 1,782 \) blocks, the length \( L = 11 \) blocks, and the width \( W = 9 \) blocks. Plugging in these values, we have: \[ 1,782 = 11 \times 9 \times H \] Calculating \( 11 \times 9 \) gives us \( 99 \). Now solving for the height \( H \): \[ H = \frac{1,782}{99} = 18 \] So the height of the rectangular prism is \( 18 \) blocks (D). Math can be like building with blocks: stacking your knowledge piece by piece! Just as you can't build a structure without all its dimensions, you can't solve for height without knowing the volume and base area. Keep practicing those calculations! In the real world, knowing how to calculate volumes is super handy! For example, if you wanted to fill a box with gifts or determine how much paint to use for a wall, understanding dimensions and volume will help you avoid running out of materials. Be it for fun crafts or serious construction, being savvy with volume calculations can save the day!