What is the volume of this composite solid?​

Step-by-step explanation:

5×9×12=540

6×9×12÷2=324

324+540=864

C. 1188 cubic meters

Step-by-step explanation:

"To find the volume, we must multiply the length x width x height"

The shape is too big so we must break it into another shape

Let's solve the bottom shape that looks like a rectangle!

Length: 12 m

Width: 9 m

Height: 5 m

Volume = 540 m

Now the top shape!

Length: 12 m

Width: 9 m

Height: 6 m

Volume = 648 m

Now we need to add both of the volume shapes!

648 + 540 = 1188 cubic meters

i got 142 as my answer

step-by-step explanation:

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°