Answered

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Please help me, with my homework

Please Help Me With My Homework class=

Sagot :

Johnnazulueta04idn

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

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