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A prism with a triangular cross section has volume 120cm^3. The base of the triangular face has length 6cm. The width of the prism is 10cm. The height of the triangular face is h. Find h.

Cross sectional area: half base x height = (6/2) h = 3h , Volume of prism: Cross sectional area x width, this gives: 3h 10 = 120, rearrange: 3h = 12, Find h: h = 4cm.
JV
Answered by Jake V. • Maths tutor
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Factorise fully: 3x - 9x^2

3x(1-3x)
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Answered by Jake V. • Maths tutor
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Part 1 of a test has 60 marks, Part 2 has 100 marks. James scores 75% on part 1 and 48% on part 2. To pass the full test, he needs 60% of the total marks, does he pass?

75% of 60: 0.75 60 = 45 , 48% of 100: 0.488 100 = 48 , His total marks: 45+48 = 93 , Total marks available: 100+60 = 160 , His final percentage: 93/160 = 0.58125 0.58125*100 = 58% , Therefore, he does not pa...
JV
Answered by Jake V. • Maths tutor
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How do you simplify the following: (3^2)^3

To simplify this you use the following rule: (a^m)^n = a^mn The a represents the base number, the m represents the power inside the bracket, and the n represents the power outside the bracket. Therefore (3^2...
SR
Answered by S R. • Maths tutor
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How can you help me?

GCSE maths can be a daunting exam, where, if you don't understand those key theorems you simply cannot succeed. With my help and endless mathematics experience we can work through your maths issues to ensure...
EW
Answered by Ellie W. • Maths tutor
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