Question

1. A square-based pyramid has the volume V. If the vertical height is H (the normal distance from the square base to the point), write a MATLAB function that:

has V and H as input arguments

calculates the length of the side of the square (S)

has S as an output argument

Write MATLAB code that tests the function for the values:

V = 10 m³ and H = 2 m.

V = 2.586×10⁶ m³ and H = 146.6 m (the original dimensions of the Great Pyramid of Giza).

2. Repeat SPIDER 2 Q1, but write a function that accepts a year as an input argument and determines whether that year is a leap year. The output should be the variable extra_day, which should be 1 if the year is a leap year and 0 otherwise.

You must write a script file that thoroughly tests whether your function works correctly.

Answer 1

% Matlab script to test the computation of length of a side of a square
% for given Volume of pyramid and its height
clc;
% test-1
V=10;
H=2;
S=lengthOfSideofSquare(V,H);
fprintf('\nfor volume %f, Height %f,Length of side of square is : %f',V,H,S);
% test-2
V=2.586*(10^6);
H=146.6;
S=lengthOfSideofSquare(V,H);
fprintf('\nfor volume %f, Height %f,Length of side of square is : %f',V,H,S);

%--------------------------------------------------------

%function file: lengthOfSideofSquare.m

function S= lengthOfSideofSquare(V,H)
% lengthOfSideofSquare accepts Volume and height of a square based
% Pyramid and returns length of a side of the square
S=sqrt((3*V)/H);
end

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%output:

QUESTION NO-2

As details od Spider 2 Q-1 is not supplied , I sen here only the part you want to enhance.i,e test of an extra day.

% SCRIPT FILE:

% Script file to test a year contains an extra day(leap year)
clc;
year=2016;
extra_day=isLeapYear(year)

%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%Function file : isLeapYear.m

function extra_day = isLeapYear(year)
% isLeapYear(year) returns 1 if year is a leap, 0 otherwise
if ( mod(year,4) ==0 && mod(year,100) ~=0) || mod(year,400)==0
extra_day=1;
else
extra_day=0;
end
end

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%Output