Photo AI
The diagram shows two similar solid triangular prisms, A and B - Edexcel - GCSE Maths - Question 17 - 2022 - Paper 2
Question 17
The diagram shows two similar solid triangular prisms, A and B. The volume of prism A is 58.806 cm³ The volume of prism B is 1587.762 cm³ The cross section of each ... show full transcript
Worked Solution & Example Answer:The diagram shows two similar solid triangular prisms, A and B - Edexcel - GCSE Maths - Question 17 - 2022 - Paper 2
Step 1
The area of the triangle is 43.74 cm²
Answer
To find the height of the triangle in prism A, we can use the formula for the area of a triangle:
ext{Area} = rac{1}{2} imes ext{base} imes ext{height}Where the base of the triangle in prism B is 8.1 cm. Rearranging the formula to find height:
ext{height} = rac{2 imes ext{Area}}{ ext{base}}Substituting the values, we get:
ext{height} = rac{2 imes 43.74}{8.1} ext{ cm}Calculating this gives:
ext{height} = rac{87.48}{8.1} ext{ cm} \ ext{height} = 10.8 ext{ cm}Step 2