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PIT_PIT [208]
3 years ago
10

Surface area of solid cuboid 8cm 6cm 2cm

Mathematics
1 answer:
strojnjashka [21]3 years ago
6 0

Answer:

152 \text{cm}^2

Step-by-step explanation:

We know that the total surface area of a cuboid is the sum of the  surface area of all six of its faces.

We also know that each opposing side has the same surface area. Thus the total surface area is equal to:

2*(8*6+8*2+6*2)\\\\=2*(48+16+12)\\=2*76\\=152(\text{cm}^2)

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Use the graph to state the solution for the system.
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Identify the values of m and b of the linear function y = mx + b, graphed below. ​
Varvara68 [4.7K]
<h2>Finding the slope and y-intercept of a line given the graph</h2><h3>Answer:</h3>

b = 4

m = -\frac{1}{3}

<h3>Step-by-step explanation:</h3>

An equation of a line written in its Slope-intercept Form, y = mx +b, has b as its y-intercept and m as its slope.

b or the y-intercept is the y-coordinate when x = 0. On the given line, we can see that when x = 0, y = 4. It's y-intercept is the point (0,4) so b = 4.

The slope, m, of the line can be calculated by \frac{y_2 -y_1}{x_2 -x_1}\\ where x_n and y_n is the xy-coordinates of any point n on the line. In the given line, we can see that (5,3) is on the line so this can be point 1. (0,4) is also on the line (yes, you can also use the y-intercept in calculating the slope of the line) so this can be our point 2.

m = \frac{4 -3}{0 -3} \\ m = \frac{1}{-3} \\ m = -\frac{1}{3}

The y-intercept is b = 4 and the slope is m = -\frac{1}{3}

5 0
3 years ago
Find the area of the following shape
blsea [12.9K]

Answer:

56.8 m²

Step-by-step explanation:

This shape is clearly a trapezium / trapezoid. So :  

Area of a trapezium is given by the formula :

\frac{a+b}{2} h

Substitute values given in diagram :

a = 4.2

b = 10

h = 8

(\frac{4.2+10}{2} )8

7.1 × 8 = 56.8

Units will be m² as this is area

Giving us our final answer of 56.8 m²

8 0
2 years ago
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