Volume of the Letter L in the sculpture = 38,016 in³ (option B)
Step-by-step explanation:
To get the volume of the L shaped figure, we break it down into shapes we can easily find their volumes
After breaking down the shape, we have a cube (A) and a cuboid (B)
Volume of A = Volume of a cube
length = 24, width = 24, height = 24
Volume of a cube = length × width × height
Volume of a cube = 24 ×24 ×24
Volume of a cube = 13824 in³
Volume of B = volume of a cuboid
length = 42, width = 24, height = 24
Volume of the cuboid = length × width × height
Volume of the cuboid = 42 × 24 × 24
Volume of the cuboid = 24192 in³
Volume of L shaped figure = Volume of the cube + volume of the cuboid
Volume of L shaped figure = 13824 + 24192 = 38016
Volume of the Letter L in the sculpture = 38,016 in³ (option B)