Base side

In a quadrilateral prism, are known surface area S = 12400 mm2 base side m = 40mm and prism height = 120mm, what is the length of base side n =?

Correct answer:

n =  8.75 mm

Step-by-step explanation:

S=12400 mm2 m=40 mm h=120 mm  S1=m2=402=1600 mm2  S=2 (m n+n h+h m) 12400=2 (40 n+n 120+120 40)  320n=2800  n=354=8.75=8.75 mm   Verifying Solution:  A=2 (m n+n h+h m)=2 (40 8.75+8.75 120+120 40)=12400 mm2



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



avatar







You need to know the following knowledge to solve this word math problem:


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

Related math problems and questions:

  • Quadrilateral prism
    kosostvorec Calculate the surface of a quadrilateral prism according to the input: Area of the diamond base S1 = 2.8 m2, length of the base edge a = 14 dm, height of the prism 1,500 mm.
  • The ABCD
    trapezium The ABCD trapezoid has a base length of a = 120mm, c = 86mm and an area of S = 2575 mm2. Calculate the height of the trapezoid.
  • A trapezoid 3
    trapezium A trapezoid ABCD has the bases length of a = 120 mm, c = 86 mm and the area A = 2,575 mm2. Find the height of the trapezoid.
  • Four prisms
    hranol4b 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 t
  • Tereza
    cube The cube has an area of base 256 mm2. Calculate the edge length, volume, and area of its surface.
  • Sphere A2V
    sphere3 The surface of the sphere is 241 mm2. What is its volume?
  • Quadrilateral prism
    cuboid The surface of the regular quadrilateral prism is 8800 cm2, and the base edge is 20 cm long. Calculate the volume of the prism
  • 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.
  • Regular prism
    hranol4sreg The regular four-sided prism has a base of 25 cm2 and a surface of 210 cm2. Find its volume.
  • The cylinder base
    valec The cylinder with a base of 8 dm2 has a volume of 120 liters. From a cylinder filled with water, 40 liters of water was removed. At what height from the bottom /with precision to dm/ is the water level?
  • Six painters
    painter Six painters paint an area of 120 m2 in 4 hours. How long does it take for 12 painters to paint 480 m2 with the same performance?
  • The cube
    cube_shield The cube has a surface area of 216 dm2. Calculate: a) the content of one wall, b) edge length, c) cube volume.
  • The tank
    nadrz The tank is full up to 4/5 of the total height and contains 240 hl of water. The area of the base is 6 square meters. What is the height of the tank?
  • Cylinder
    cylinder The cylinder surface is 922 dm2. Its height is equal to the radius of the base. Calculate the height of this cylinder.
  • The area
    rhombus-diagonals The area of a rhombus is 143 m2. If the longer diagonal is 26 m, find the shorter diagonal in inches named d1.
  • Cube wall
    kocka The surface of the first cube wall is 64 m2. The second cube area is 40% of the surface of the first cube. Determine the length of the edge of the second cube (x).
  • Edge c
    kvadr_diagonal Find the edge c of cuboid if an edge a = 20 mm, b = 30 mm and surface area S = 8000 mm2.