Four prisms

Question No. 1: The prism has the dimensions a = 2.5 cm, b = 100 mm, c = 12 cm. What is its volume?
a) 3000 cm2
b) 300 cm2
c) 3000 cm3
d) 300 cm3

Question No.2: The prism base is a rhombus with a side length of 30 cm and a height of 27 cm. The height of the prism is 5dm. What is the volume of the prism?
a) 20 250
b) 450
c) 40,500
d) 4,050

Question No.3: A regular square prism with a square base has a volume of 63 cm3 and a height of 7 cm. Calculate its surface.
a) 756
b) 102
c) 63
d) 414

Question No.4: Calculate the surface of a square prism high vh = 2 dm, the base of which is a trapezoid with bases z1 = 10cm, z2 = 8cm, height v = 4cm and with arms long r1 = r2 = 5cm.
a) 128 cm2
b) 596 cm2
c) 632 cm2
d) 532 cm2

Correct answer:

V1 =  300 cm3
V2 =  30000 cm3
S3 =  102 cm2
S4 =  632 cm2

Step-by-step explanation:

a1=2.5 cm b1=100 mm cm=100:10  cm=10 cm c1=12 cm  V1=a1 b1 c1=2.5 10 12=300 cm3
a2=30 cm b2=20 cm c2=5 dm cm=5 10  cm=50 cm  V2=a2 b2 c2=30 20 50=30000 cm3
V3=63 cm3 c=7 cm  S1=V3/c=63/7=9 cm2 a=S1=9=3 cm  S3=4 a c+2 S1=4 3 7+2 9=102 cm2
v4=2 dm cm=2 10  cm=20 cm z1=10 cm z2=8 cm v=4 cm r1=5 cm r2=5 cm  S44=2z1+z2 v=210+8 4=36 cm2  S4=(z1+z2+r1+r2) v4+2 S44=(10+8+5+5) 20+2 36=632 cm2

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