Answer:
a.
1. Surface Area = 15000cm²
2.Volume= 125000cm³
b.
1. Surface Area= 9400cm²
2. Volume= 42000cm³
Step-by-step explanation:
A.
1. If the side length of the cube is 50 cm:
Surface Area = 6 × 50²
Surface Area = 6 × 2500
Surface Area = 15000 cm²
Given:
Side length (S) = 50 cm
2. To calculate the volume of a cube, you can use the formula:
Volume = S³
Substitute the value of the side length:
Volume = 50³
Volume = 125000 cm³
Therefore, the volume of the cube with a side length of 50 cm is 125000 cm³.
B.
1. Surface Area = 2(LB + LH + BH)
Given:
Length (L) = 70 cm
Base (B) = 30 cm
Height (H) = 20 cm
Substitute these values into the formula:
Surface Area = 2(70•30 + 70•20 + 30√20)
Surface Area = 2(2100 + 1400 + 600)
Surface Area = 2(4700)
Surface Area = 9400 cm²
Therefore, the surface area of a rectangular prism (box) with dimensions L = 70 cm, B = 30 cm, and H = 20 cm is 9400 cm².
2. Volume = Length × Base × Height
Given:
- Length (L) = 70 cm
- Breadth (B) = 30 cm
- Height (H) = 20 cm
Substitute the values into the formula:
Volume = 70 × 30 × 20
Volume = 42000 cm³
Therefore, the volume of the rectangular prism with dimensions L=70 cm, B=30 cm, and H=20 cm is 42000 cm³.
Hope it helps
