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=z1+z22 v=10+82 4=36 cm2  S4=(z1+z2+r1+r2) v4+2 S44=(10+8+5+5) 20+2 36=632 cm2



Did you find an error or inaccuracy? Feel free to write us. Thank you!






avatar




Tips to related online calculators
Do you want to convert area units?
Do you know the volume and unit volume, and want to convert volume units?

 
We encourage you to watch this tutorial video on this math problem: video1   video2   video3

Related math problems and questions:

  • Remainders
    dividing It is given a set of numbers { 170; 244; 299; 333; 351; 391; 423; 644 }. Divide this numbers by number 66 and determine set of remainders. As result write sum of this remainders.
  • Tablecloths
    obrus The restaurant has sixty-two square tablecloths with a side length of 150 cm and 36 rectangular tablecloths with dimensions of 140 cm and 160 cm. A) How many meters of hemming ribbon will be needed if we add 50 cm to each tablecloth? B) The ribbon sale in
  • Insulate house
    byty The property owner wants to insulate his house. The house has these dimensions 12, and 12 m is 15 m high. The windows have 6 with dimensions 170 and 150 cm. Entrance doors are 250 and 170 cm in size. How many square meters of polystyrene does he need?
  • Cuboid - volume and areas
    cuboid The cuboid has a volume of 250 cm3, a surface of 250 cm2 and one side 5 cm long. How do I calculate the remaining sides?
  • Annual income
    income The annual income (in thousands of $) of fifteen families is 60, 80, 90, 96, 120, 150, 200, 360, 480, 520, 1060, 1200, 1450, 2500, 7200. Calculate the harmonic and geometric mean.
  • Tank full
    cuboid 2 hl of water were poured into a block-shaped tank with dimensions of 450 mm and 600 mm and a height of 900 mm. How many liters of water need to be added to keep the tank full?
  • There 14
    skola There are 250 people in a museum. 2/5 of the 250 people are girls 3/10 of the 250 people are boys The rest of the 250 people are adults Work out the number of adults in the museum.
  • Cuboid walls
    cuboid Calculate the cuboid volume if its different walls have an area of 195cm², 135cm², and 117cm².
  • Concert
    freddie-mercury On a Concert were sold 150 tickets for CZK 360, 235 tickets for 240 CZK and 412 for 180 CZK. How much was the total revenues for tickets?
  • Pool tiles
    bazen The pool is 25m long, 10m wide, and 160cm deep. How many m2 of tiles will be needed on the walls and the pool? How many tiles are needed when 1 tile has a square shape with a 20cm side? How much does it cost when 1m2 of tiles costs 258 Kc?
  • Edge of prism
    hranol4b The regular quadrilateral prism has a surface of 250 dm2, its shell has a content of 200 dm2. Calculate its leading edge.
  • The Scout Tent
    jehlan_4b_obdelnik The Scout Tent has a rectangular wooden underlay with dimensions of 220 cm and 150 cm. How much canvas is needed for a 170 cm high pyramid roof?
  • Seeds
    kombajn-zito The field has a rectangular shape with dimensions of 128 m and 350 m. How many kg of seed are needed for sowing if the 1 m2 will consume 25 g of seeds?
  • Gasoline price 2
    fuel-pump During the COVID-19 pandemic new gasoline price shceme is given by Marilou's Gas Station to help our drivers. On their purchase, the first 4 liters cost Php120.00, while the succeeding 1 1/2 liters would cost Php10.00 more than the cost of a liter. If joh
  • Height of the cylinder
    valec The cylinder volume is 150 dm cubic, the base diameter is 100 cm. What is the height of the cylinder?
  • The tractor
    tractor The tractor sows an average of 1.5 ha per hour. In how many hours does it sows a rectangular trapezoid field with the bases of 635m and 554m and a longer arm 207m?
  • Empty aquarium
    akvarko How much does an empty aquarium weigh with dimensions: length = 40 cm, width = 30 cm, height = 20 cm, if 1 dm2 of glass weighs 300 g? Calculate its weight in kilograms.