A square pyramid has a triangular face of area \(12 ~\text{cm}^2\). The area of the base is \(16 ~\text{cm}^2\). Find the height of the pyramid.
Answer
\(4\sqrt{2} \text{ cm}\)
Worked Solution
Question 2
112777
A cube has a volume of \(64 \text{ cm}^3\). Find the length of the slant height \(CE\)
Answer
\(4 \sqrt{3} \text{ cm}\)
Worked Solution
Question 3
112778
A cylinder has a volume of \(20 \pi \text{ cm}^3\) and radius \(2 \text{ cm}\). Find the length of \(BC\)
Answer
\( \sqrt{29} \text{ cm}\)
Worked Solution
Question 4
112779
In the rectangular prism: \(EH=12 \text{ cm}, \,EF=5\text{ cm}\) and \(BF=6 \text{ cm}\). Find the length of \(BH\)
Answer
14.3 cm
Worked Solution
Question 5
112780
A cone has a slant height of \(AC=6 \text{ cm}\). Its height is \(4 \text{ cm}\). Find the radius of the cone.
Answer
\( 2 \sqrt{5} \text{ cm}\)
Worked Solution
Question 6
14997
A ladder 8 m leans against a wall, with its base 3 m from the bottom of the wall. How far does the ladder reach up the wall?
Answer
\(7.4 ~\text{m}\)
Worked Solution
Question 7
14999
For this square pyramid, find the slant height \(\text{TU}\). Perpendicular drawn from \(\text{T}\) to the base \(=14 ~\text{cm}\), \(\text{O}\) is the centre of the base and \(\text{PQ} = 5~\text{cm}\).
Answer
\(14.2~\text{cm}\)
Worked Solution
Question 8
15001
For this cube of side length 12 cm find the length of QS, the diagonal of the base (2 decimal places).
Answer
\(17.0~\text{cm}\)
Worked Solution
Question 9
15002
Find the length of the diagonal of the cylinder (1 decimal place).
Answer
\(8.5~\text{cm}\)
Worked Solution
Question 10
15003
Find the height of the cone, if \(AC = 11~\text{cm}\) and \(OC = 3~\text{cm}\) (1 decimal place)
