To determine which box has more sand, we will calculate the volume of each box using the formula for volume \( V = Bh \), where \( B \) is the area of the base and \( h \) is the height of the box.
Step 1: Calculate the volume of Box A
Box A dimensions:
- Width = 8 inches
- Length = 15 inches
- Height = 11 inches
First, calculate the area of the base \( B_A \): \[ B_A = \text{Width} \times \text{Length} = 8 , \text{inches} \times 15 , \text{inches} = 120 , \text{square inches} \]
Now, use the height to find the volume: \[ V_A = B_A \times h = 120 , \text{square inches} \times 11 , \text{inches} = 1320 , \text{cubic inches} \]
Step 2: Calculate the volume of Box B
Box B dimensions:
- Width = 7 inches
- Length = 13 inches
- Height = 18 inches
First, calculate the area of the base \( B_B \): \[ B_B = \text{Width} \times \text{Length} = 7 , \text{inches} \times 13 , \text{inches} = 91 , \text{square inches} \]
Now, use the height to find the volume: \[ V_B = B_B \times h = 91 , \text{square inches} \times 18 , \text{inches} = 1638 , \text{cubic inches} \]
Step 3: Compare the volumes of Box A and Box B
- Volume of Box A: \( 1320 , \text{cubic inches} \)
- Volume of Box B: \( 1638 , \text{cubic inches} \)
Conclusion: Box B has more sand, with a volume of 1638 cubic inches compared to Box A’s 1320 cubic inches.