Prism

Calculate the surface area and volume of a prism with a body height h = 10 cm and its base has shape of a rhomboid with sides a = 5.8 cm, b = 3 cm and the distance of its two longer sides is w = 2.4 cm.

Correct result:

S =  203.84 cm²
V =  139.2 cm³

Solution:

$v=10 \ \\ a=5.8 \ \\ b=3 \ \\ w=2.4 \ \\ o=2 \cdot \ (a+b)=2 \cdot \ (5.8+3)=\dfrac{ 88 }{ 5 }=17.6 \ \\ S_{1}=a \cdot \ w=5.8 \cdot \ 2.4=\dfrac{ 348 }{ 25 }=13.92 \ \\ S=2 \cdot \ S_{1} + o \cdot \ v=2 \cdot \ 13.92 + 17.6 \cdot \ 10=\dfrac{ 5096 }{ 25 }=203.84 \ \text{cm}^2$

$V=S_{1} \cdot \ v=13.92 \cdot \ 10=\dfrac{ 696 }{ 5 }=139.2 \ \text{cm}^3$

Try another example

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:

Be the first to comment!

Next similar math problems:

• Surface area 6
  Find the surface area of a prism whose bases are right triangles with sides of length 3, 4, and 5 inches and a height of 8 inches. Include a sketch
• Pool
  The prism-shaped pool is 2 m deep with a bottom of the isosceles trapezoid with base dimensions of 10 m and 18 m and arm legs 7 m long and 5.7 m long. During the spring cleaning, the bottom and walls of the pool must be painted. How many m² of paint shoul
• Metal rails
  Dad needs to improve the edges of the wooden boxes - to be reinforced with metal rails. How many cms of rails will he need if the box has the shape of a prism with the length of the edges 70cm 70cm and 120cm?
• Circle r,D
  Calculate the diameter and radius of the circle if it has length 52.45 cm.
• TVs
  Production of television sets increased from 3,500 units to 4,200 units. Calculate the percentage of production increase.
• Sphere VS
  Find the surface and volume of a sphere that has a radius of 2 dm.
• Greenhouse
  Garden plastic greenhouse is shaped half cylinder with a diameter of 6 m and base length 20 m. At least how many m² of plastic is need to its cover?
• Drawer
  The rectangular face of a drawer has a perimeter of 108 cm and a width of 18cm. Find the length and the area of the rectangular face of the drawer.
• Flowerbed
  In the park there is a large circular flowerbed with a diameter of 12 m. Jakub circulated him ten times and the smaller Vojtoseven times. How many meters each went by and how many meters did Jakub run more than Vojta?
• Let x
  Let x represent one quantity. State what that quantity represents. Express the second quantity in terms of x. The length of the rectangle is 4 inches less than 8 times the width.
• Mine
  Wheel in traction tower has a diameter 4 m. How many meters will perform an elevator cabin if wheel rotates in the same direction 89 times?
• Unknown number
  Identify unknown number which 1/5 is 40 greater than one tenth of that number.
• MO 2016 Numerical axis
  Cat's school use a special numerical axis. The distance between the numbers 1 and 2 is 1 cm, the distance between the numbers 2 and 3 is 3 cm, between the numbers 3 and 4 is 5 cm and so on, the distance between the next pair of natural numbers is always i
• Sales off
  Goods is worth € 70 and the price of goods fell two weeks in a row by 10%. How many % decreased overall?
• Apples 2
  James has 13 apples. He has 30 percent more apples than Sam. How many apples has Sam?
• Conference
  148 is the total number of employees. The conference was attended by 22 employees. How much is it in percent?
• Inequation
  Solve the inequation: 5k - (7k - 1)≤ 2/5 . (5-k)-2