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Bess [88]
3 years ago
11

a rectangular solid has a base with length 2cm and width 8 cm if the volume of the solid is 160cm^3 find the ht

Mathematics
1 answer:
wlad13 [49]3 years ago
5 0
Let the height be h.
2 x 8 x h = 160
h = 10
therefore the height is 10cm
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the catering company is setting the table for a big event that will host 764 people when they set up the tables they need 2 fork
BARSIC [14]
Given:
child = 2 forks
adult = 5 forks
total number of forks = 2992
total number of people = 764

c + a = 764
2c + 5a = 2992

find the value of c using the 1st equation.

c = 764 - a

substitute c in the 2nd equation by its value

2c + 5a = 2992
2(764-a) + 5a = 2992

1528 - 2a + 5a = 2992
1528 + 3a = 2992
3a = 2992 - 1528
3a = 1464
3a/3 = 1464/3
a = 488

c = 764 - a
c = 764 - 488
c = 276

child = 276 ; adult = 488

2c + 5a = 2992
2(276) + 5(488) = 2992
552 + 2440 = 2992
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8 0
3 years ago
Which pyramid has a greater volume, and how much greater is its volume? A rectangular pyramid on the left with a base of 7 inche
Vanyuwa [196]

Answer:

Which pyramid has a greater volume? the first pyramid (left pyramid) with a volume of 42in^3

How much greater is its volume? its volume is 2in^3 greater than the second (right) pyramid

Step-by-step explanation:

Equation to find the volume of a pyramid:

V=\frac{A_bh}{3}

where A_b is the area of the base, and h is the height.

  • First pyramid:

length: l=7in

width: w=6in

height: h=3in

Area of the rectangular base:

A_b=lw\\A_b=7in*6in\\A_b=42in^2

Volume of the first pyramid:

V_1=\frac{A_bh}{3}\\ \\V_1=\frac{42in^2*3in}{3} \\\\V_1=\frac{126in^3}{3} \\\\V_1=42in^3

  • Second pyramid:

length: l=4in

width: w=3in

height: h=10in

Area of the rectangular base:

A_b=lw\\A_b=4in*3in\\A_b=12in^2

Volume of the second pyramid:

V_2=\frac{A_bh}{3} \\\\V_2=\frac{12in^2*10in}{3}\\ \\V_2=\frac{120in^3}{3} \\\\V_2=40in^3

Which pyramid has a greater volume? the first pyramid (left pyramid) with a volume of 42in^3

How much greater is its volume? its volume is 2in^3 greater than the second (right) pyramid

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3 years ago
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Evgesh-ka [11]

Answer:

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Step-by-step explanation:

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Always do the ÷ first then the -
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Please help me with this test
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