The gold bar has a trapezium cross-sectional area. gold has a density of 19.3 grams per cm3. work out the mass of the gold bar. give your answer in kilograms.

The mass of the gold bar is

Further explanation:

The formula of area of trapezoid can be expressed as follows,

Given:

The height of the trapezium is

The parallel sides of the trapezium are

Explanation:

The area of the trapezium can be obtained as follows,

The volume of gold bar can be obtained as follows,

The formula of the density can expressed as follows,

The mass of the gold bar can be obtained as follows,

The mass of the gold bar is

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Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Triangles

Keywords: gold, gold bar, trapezium, cross-sectional, area, cross-sectional area, density, 19.3 grams, cm3, centimeter cube, mass, kilogram, mass of gold bar, diagonal, height, length of trapezium.

step-by-step explanation:

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step-by-step explanation:

m

1

=

5

m1=5

b

=

−

1

b=-1

find the slope and y-intercept of the second equation.

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m

2

=

0

m2=0

b

=

−

6

b=-6

compare the slopes

m

m of the two equations.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

compare the two slopes in the decimal form. if the slopes are equal, then the lines are parallel. if the slopes are not equal, then the lines are not parallel.

m

1

=

5

,

m

2

=

0

m1=5,m2=0