Prism Calculator

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**Step 1 :**

**Step 2 :**

Prism Calculator is used to find the area of base, perimeter of base, surface area and volume for triangular and rectangular prism.

Triangular prism can be defined as a three-sided prism.

Rectangular Prism is a 3-dimensional figure that has a 6 sided prism made up of 3 pairs of congruent rectangles.

Triangular prism can be defined as a three-sided prism.

Rectangular Prism is a 3-dimensional figure that has a 6 sided prism made up of 3 pairs of congruent rectangles.

**Triangular Prism Formulas**

Area of Base = $\frac{1}{2}$ * a * b

Perimeter of Base = S_{1} + S_{2} + S_{3}

Surface Area of Prism = a * b + (S_{1} + S_{2} + S_{3}) * h

Volume of Prism = $\frac{1}{2}$ * a * b * h

Where

a = altitude

b = base

h = height

S_{1}, S_{2} and S_{3} are sides

**Rectangular Prism Formulas**

Area of Base = l * w

Perimeter of Base = (2*l+2*w)

Surface area of prism = (2*(l*w)+(2*l+2*w)*h)

Volume of Prism = l * w * h

Diagonal of prism = $\sqrt{l^{2}+w^{2}+h^{2}}$

Where,

l = length

w = width

h = height

Put the values in the formula and calculate it further.

If the altitude of triangular prism is 4 cm, base is 5 cm, height is 7 cm and whose sides are equilateral 3 cm. Find the area of base, perimeter of base, surface area of prism and volume of prism.

**Step 1 :**Given

S

_{1}= S_{2}= S_{3}= 3 cm

a = 4 cm

b = 5 cm

h = 7 cm**Formulas**

Area of Base = $\frac{1}{2}$ * a * b

Perimeter of Base = S_{1}+ S_{2}+ S_{3}

Surface Area of Prism = a*b + (S_{1}+ S_{2}+ S_{3})*h

Volume of Prism = $\frac{1}{2}$ * a * b * h**Step 2 :**Area of base = 0.5 * 4 * 5

= 10 cm^{2}

Perimeter of base = 3 + 3 + 3

= 9 cm

Surface area of prism = 4 * 5 + (3 + 3 + 3) * 7

= 83 cm^{2}

Volume of prism = 0.5 * 4 * 5 * 7

= 70 cm^{3}**Answer :****Area of Base**= 10 cm^{2}**Perimeter of Base**= 9 cm**Surface Area of Prism**= 83 cm^{2}**Volume of Prism**= 70 cm^{3}If the rectangular prism is having a length 8 cm, width 6 cm and height 11 cm. Find area of base, perimeter of base, surface area of prism, volume of prism, diagonal of prism ?

**Step 1 :****Given:**

l = 8 cm

w = 6 cm

h = 11 cm

Area of Base = l * w

Perimeter of Base = (2*l+2*w)

Surface area of prism = (2*(l*w)+(2*l+2*w)*h)

Volume of Prism = l * w * h

Diagonal of prism = $\sqrt{l^{2}+w^{2}+h^{2}}$**Step 2 :**

Put the values in the formula and calculate it further.

Area of base = 8 * 6

= 48 cm^{2}

Perimeter of base = (2 * 8 + 2 * 6)

= (16 + 12)

= 28 cm

Surface area of prism = (2*(8 * 6) + (2 * 8 + 2 * 6) * 11)

= 404 cm^{2}

Volume of Prism = 8 * 6 * 11

= 528 cm^{3}

Diagonal of prism = $\sqrt{8^{2} * 6^{2} * 11^{2}}$

= 14.86 cm^{2}**Answer :****Area of Base**= 48 cm^{2}**Perimeter of Base**= 28 cm**Surface Area of Prism**= 404 cm^{2}**Volume of Prism**= 528 cm^{3}**Diagonal of Prism**= 14.86 cm^{2}

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