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LekaFEV [45]
2 years ago
9

20 POINTSplease help and have a good weekend

Mathematics
1 answer:
Over [174]2 years ago
4 0

A = 6 cm; B = 3 cm; C = 8 cm; D = 10 cm

The Surface area of the prism = 120 cm².

<h3>How to Find the Surface Area of Triangular Prism?</h3>

Surface area = Area of A + B + C + D

The side lengths are:

A = 6 cm

B = 3 cm

C = 8 cm

D = 10 cm

Surface area of the prism = 2(area of triangular face) + area of rectangle 1 + area of rectangle 2 + area of rectangle 3

Area of triangular face = 1/2(b)(h) = 1/2(8)(6) = 24 cm

Area of rectangle 1 = (length)(width) = (10)(3) = 30 cm²

Area of rectangle 2 = (length)(width) = (6)(3) = 18 cm²

Area of rectangle 3 = (length)(width) = (8)(3) = 24 cm²

Surface area of the prism = 2(24) + 30 + 18 + 24 = 120 cm².

Learn more about Surface Area of Triangular Prism on:

brainly.com/question/16147227

#SPJ1

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OleMash [197]

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8 0
2 years ago
Geometry help please! Match the reasons with the statements.
SSSSS [86.1K]

Given:

∠PRS and ∠VUW are supplementary.

To prove:

Line TV || Line QS

Solution:

Step 1: Given

∠PRS and ∠VUW are supplementary.

Step 2: By the definition of supplementary angles

m\angle {PRS}+m\angle {VUW}=180^{\circ}

Step 3: Angles forming a linear pair sum to 180°

m\angle {PRS}+m\angle {SRU}=180^{\circ}

Step 4: By transitive property of equality

step 2 = step 3

m\angle {PRS}+m\angle {VUW}=m\angle {PRS}+m\angle {SRU}

Step 5: By algebra cancel the common terms in both side.

{m} \angle {VUW}={m} \angle{SRU}

Step 6: By converse of corresponding angles postulate

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Hence proved.

6 0
3 years ago
The diameter of a sphere is 4 centimeters. Which represents the volume of the sphere?
frosja888 [35]

Answer:

256π/3 cm³

Step-by-step explanation:

d = 2r => r = d/2 = 4cm/2 = 2 cm

V(sphere) = 4π·r³/3

= 4π·64/3 cm³

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7 0
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A multiple must be greater than or equal to the largest starting number. True or False
podryga [215]

I'll use multiples of 2 and 4 as an example:

Multiples of 2: 2, 4, 6, 8...

Multiples of 4: 4, 8, 12, 16...

The least common multiple in this case is 4. The LCM is always ≥ the largest starting number, which is 4 for this example. Therefore, the statement is true.

<em>Hope this helps! :)</em>

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3 years ago
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