Question

4. Alice is creating a pyramid with toy rectangular-prism-shaped blocks

that measure 1 inch by 2 inches by 2 inches. She places 8 blocks in
the first row. Then she places 6 blocks on top of the first row and 4
blocks on top of the second row. If she continues the pattern until
the top row has 2 blocks, what is the volume of the final pyramid?

Answer 1

The final pyramid has a volume of 16 cubic inches. To find this, first multiply the number of blocks in each row together. 8 blocks in row 1 = 8 x 2 x 2 = 32; 6 blocks in row 2 = 6 x 2 x 2 = 24; 4 blocks in row 3 = 4 x 2 x 2 = 16; and 2 blocks in row 4 = 2 x 2 x 2 = 8. Then add all these numbers together to get 32 + 24 + 16 + 8 = 80. Finally, divide this number by 3 to get the volume, 80/3 = 16.