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Work out the surface area of this solid prism.

25cm

17cm

15cm

30cm

28cm

The diagram is not drawn to scale.

PLS HELPPP IM DYING

Work out the surface area of this solid prism 25cm 17cm 15cm 30cm 28cm The diagram is not drawn to scale PLS HELPPP IM DYING

Answer :

Answer:

2520cm²

Step-by-step explanation:

Surface area = sum of the area of all the bases.

Area of bottom base = 28 * 30 = 840

Area of right base = 25 * 30 = 750

Area of left base = 17 * 30 = 510

Area of two triangles = ( 15 * 28 ) / 2 = 210 * 2 = 420

Then add all the areas together to find surface area

Surface area = 840 + 750 + 510 + 420 = 2520cm²

Relevant Formulas:

Area of a rectangle = length * width. This formula was used to find the area of the bottom base, the right base and the left base

Area of a triangle = ( height * base length ) / 2 . This formula was used to find the area of the sides which are triangles.

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Rewritten by : Barada

Final answer:

The surface area of a rectangular prism is found by summing the area of all its sides. Using the measurements given and the formula for a rectangular prism (2(ab + bc + ac)), the surface area of the prism is 2990cm^2.

Explanation:

The surface area of a prism is calculated by adding the area of all its sides. For a rectangular prism, the formula is 2(ab + bc + ac), where a, b, and c are the lengths of the three sides.

Using your measurements: a = 25cm, b = 28cm, c = 15cm.

Steps:

  1. Calculate the area of each pair of opposite faces: 2(ab) = 2(25cm * 28cm)=1400cm^2, 2(bc) = 2(28cm * 15cm)=840cm^2, and 2(ac) = 2(25cm * 15cm)=750cm^2.
  2. Add these areas together to get the surface area of the prism: Surface Area = 1400cm^2 + 840cm^2 + 750cm^2=2990cm^2.

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