Answer:
see explanation
Step-by-step explanation:
(1)
Volume (V) of prism = area of triangular end face × length
V = [tex]\frac{1}{2}[/tex] × 4.2 × 4.7 × 6.4 ≈ 63.17 mi³
(2)
Volume of a cuboid = lbh
where l is the length, b the breadth and h the height
l = x, b = 4, h = 9 and V = 972, thus
x × 4 × 9 = 972
36x = 972 ( divide both sides by 36 )
x = 27
(3)
V = area of triangular end × length, thus
[tex]\frac{1}{2}[/tex] × 6 × x × 9 = 234.9
27x = 234.9 ( divide both sides by 27 )
x = 8.7
