Total Surface Area of Right Square Pyramid given Slant Height Calculator

Calculate Total Surface Area of Right Square Pyramid





Formula

The formula to calculate the Total Surface Area of a Right Square Pyramid given its Slant Height is:

\[ \text{TSA} = l_e^2 + (2 \times l_e \times h_{\text{slant}}) \]

Definition

The Total Surface Area of a Right Square Pyramid is the total amount of two-dimensional space occupied on all the faces of the Right Square Pyramid. The Edge Length of the Base of a Right Square Pyramid is the length of the straight line connecting any two adjacent vertices of the base of the Right Square Pyramid. The Slant Height of a Right Square Pyramid is the length measured along the lateral face from the base to the apex of the Right Square Pyramid along the center of the face.

Example Calculation

Let's assume the following values:

Using the formula:

\[ \text{TSA} = 10^2 + (2 \times 10 \times 16) = 420 \text{ Square Meter} \]

The Total Surface Area of the Right Square Pyramid is 420 Square Meter.

Conversion Chart

Edge Length (Meter) Slant Height (Meter) Total Surface Area (Square Meter)
9 16 369.000000000000000
9.1 16 374.009999999999991
9.2 16 379.039999999999964
9.3 16 384.089999999999918
9.4 16 389.159999999999911
9.5 16 394.249999999999886
9.6 16 399.359999999999900
9.7 16 404.489999999999895
9.8 16 409.639999999999873
9.9 16 414.809999999999832
10 16 419.999999999999829
10.1 16 425.209999999999809
10.2 16 430.439999999999770
10.3 16 435.689999999999770
10.4 16 440.959999999999752
10.5 16 446.249999999999716
10.6 16 451.559999999999718
10.7 16 456.889999999999645
10.8 16 462.239999999999668
10.9 16 467.609999999999616
11 16 472.999999999999602