Help me to do this. Calculate the value of h.Thank you
Answer:
Total height = 27 cm
Pyramid height (h) = 9 cm; prism height = 18 cm
Explanation with steps:
Cross section area = luas alas = 325 cm²
Volume = 6,825 cm³
Height of pyramid = h; height of prism with triangular cross section = 2h
Therefore the equation to find
pyramid volume = (cross section area x height)/3= 325h/3
Prism with triangle cross sec. = cross sec. area x height = 325 x 2h = 650h
Pyramid vol + prism vol = Total vol.
(325h/3) + 650h = 6,825
2,275h/3 = 6,825
2,275 h = 6,825 x 3
2,275 h = 20,475
h = 20,475 / 2,275
h = 9 cm
(height of pyramid = 9 cm)
2h = 9 x 2 = 18 cm (height of prism = 18 cm)