An open rectangular box is made of wood 2cm thick. If the internal dimensions of the box are 50cm long, 36cm wide and 20cm deep, the box volume of wood in t...

Given that for sets A and B, in a universal set E, \(A \subseteq B\) then \(A \cap (A \cap B)^{1}\) is

Evaluate \( \frac{1}{3} \div \left[\frac{5}{7}\left(\frac{9}{10}-1+\frac{3}{4}\right)\right] \)

Evaluate \( \frac{0.36 \times 5.4 \times 0.63}{4.2 \times 9.0 \times 2.4} \)

Without using table, solve the equation \(8x^{-2} = \frac{2}{25}\)

Solve for x if 25x + 3(5x) = 4

Evaluate \( \frac{\log_{5}(0.04)}{\log_{3}18-\log_{3}2} \)

Given that \( \sqrt{2} = 1.1414 \), find without using tables, the value of \( \frac{1}{\sqrt{2}} \)

Simplify \( \sqrt{48} - \frac{9}{\sqrt{3}} + \sqrt{75} \)