Gujarat BoardEnglish MediumSTD 8MATHSMensuration1 Mark
Question
Area of a rhombus $=\frac{1}{2}$ product of _________.
✓
Answer
Three cubes having side $x$ are joined face-to-face, then the cuboid so formed has the same height and breadth as the cubes but its length will be thrice that of the cubes.
Hence, the length, breadth and height of the cuboid so formed are $3x, x$ and $x$ respectively. Then its surface area $= 2(lb + bh + hl)$
$=2(3 x \times x+x \times x \times 3 x)=2\left(3 x^2+x^2+3 x^2\right)$
$=2 \times 7 x^2=14 x^2$
Now, the surface area of the cube of side $x=6(\text { Side })^2=6 x^2$ Hence, the statement is false.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.