PSLE A rectangular block U was cut along the dotted line into two smaller rectangular blocks of equal height, V and W, as shown. The volume of W is 11396 cm
3 more than that of V.
- What is the height of each block?
- Gabriel packed 8 of block W such that they fit exactly into a box with a square base. The box has the same height as W. At most, how many of block V can be packed into such a box?
(a)
Base area of Block V
= 13 x 28
= 364 cm
2 Base area of Block W
= 42 x 28
= 882 cm
2 Base area of Block W more than Block V
= 882 - 364
= 518 cm
2 Height of each block
= 11396 ÷ 518
= 22 cm
(b)
Base area of the box
= 8 x 882
= 7056 cm
3 Length of the box
= √7056
= 84 cm
Number of Block V along the length of the box
= 84 ÷ 13
= 6 r 6
Number of Block V along the breadth of the box
= 84 ÷ 28
= 3
Number of Block V to pack into the box at most
= 6 x 3
= 18
Answer(s): (a) 22 cm; (b) 18